34516468728 has 96 divisors (see below), whose sum is σ = 106864642560. Its totient is φ = 9859268160.

The previous prime is 34516468661. The next prime is 34516468739. The reversal of 34516468728 is 82786461543.

It is a happy number.

34516468728 is a `hidden beast` number, since 3 + 4 + 516 + 46 + 87 + 2 + 8 = 666.

It is a super-2 number, since 2×34516468728² (a number of 22 digits) 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2779413 + ... + 2791803.

It is an arithmetic number, because the mean of its divisors is an integer number (1113173360).

Almost surely, 2^34516468728 is an apocalyptic number.

It is an amenable number.

34516468728 is an abundant number, since it is smaller than the sum of its proper divisors (72348173832).

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

34516468728 is a wasteful number, since it uses less digits than its factorization.

34516468728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17937 (or 17930 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 34516468728 in words is "thirty-four billion, five hundred sixteen million, four hundred sixty-eight thousand, seven hundred twenty-eight".