3487300128 has 360 divisors, whose sum is σ = 11718075600. Its totient is φ = 1014114816.

The previous prime is 3487300127. The next prime is 3487300213. The reversal of 3487300128 is 8210037843.

3487300128 is a `hidden beast` number, since 348 + 7 + 300 + 1 + 2 + 8 = 666.

It is a super-2 number, since 2×3487300128² = 24322524365497632768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3487300092 and 3487300101.

It is not an unprimeable number, because it can be changed into a prime (3487300127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8322703 + ... + 8323121.

It is an arithmetic number, because the mean of its divisors is an integer number (32550210).

Almost surely, 2^3487300128 is an apocalyptic number.

3487300128 is a gapful number since it is divisible by the number (38) 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 3487300128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5859037800).

3487300128 is an abundant number, since it is smaller than the sum of its proper divisors (8230775472).

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

3487300128 is a wasteful number, since it uses less digits than its factorization.

3487300128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3487300128 is about 59053.3667795495. The cubic root of 3487300128 is about 1516.4558654867.

The spelling of 3487300128 in words is "three billion, four hundred eighty-seven million, three hundred thousand, one hundred twenty-eight".