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3490550400 = 273523137317
BaseRepresentation
bin1101000000001101…
…1001001010000000
3100000021002022222110
43100003121022000
524122040103100
61334210335320
7152333121531
oct32003311200
910007068873
103490550400
1115313631a7
12814b8a540
1343820b44c
1425181c688
15156692250
hexd00d9280

3490550400 has 384 divisors, whose sum is σ = 12227074560. Its totient is φ = 873676800.

The previous prime is 3490550387. The next prime is 3490550411. The reversal of 3490550400 is 40550943.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11011042 + ... + 11011358.

It is an arithmetic number, because the mean of its divisors is an integer number (31841340).

Almost surely, 23490550400 is an apocalyptic number.

3490550400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3490550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6113537280).

3490550400 is an abundant number, since it is smaller than the sum of its proper divisors (8736524160).

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

3490550400 is a wasteful number, since it uses less digits than its factorization.

3490550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 3490550400 is about 59080.8801559354. The cubic root of 3490550400 is about 1516.9268471780.

The spelling of 3490550400 in words is "three billion, four hundred ninety million, five hundred fifty thousand, four hundred".