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3675466368 = 2736717331
BaseRepresentation
bin1101101100010011…
…0010101010000000
3100111011001001000000
43123010302222000
530011404410433
61404414000000
7160036643250
oct33304625200
910434031000
103675466368
111616783312
12866aa6000
13467613a92
1426c1d5960
15167a1c113
hexdb132a80

3675466368 has 448 divisors, whose sum is σ = 13324806720. Its totient is φ = 985374720.

The previous prime is 3675466357. The next prime is 3675466391. The reversal of 3675466368 is 8636645763.

3675466368 is a `hidden beast` number, since 3 + 67 + 546 + 6 + 36 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×36754663682 = 27018106044598222848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (13063680) is a multiple of the sum of its prime divisors (360).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11103963 + ... + 11104293.

Almost surely, 23675466368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3675466368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6662403360).

3675466368 is an abundant number, since it is smaller than the sum of its proper divisors (9649340352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3675466368 is an equidigital number, since it uses as much as digits as its factorization.

3675466368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 360 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The square root of 3675466368 is about 60625.6246813177. The cubic root of 3675466368 is about 1543.2542596819.

The spelling of 3675466368 in words is "three billion, six hundred seventy-five million, four hundred sixty-six thousand, three hundred sixty-eight".