34976016 has 40 divisors (see below), whose sum is σ = 100395360. Its totient is φ = 11658528.

The previous prime is 34976003. The next prime is 34976027. The reversal of 34976016 is 61067943.

34976016 is a `hidden beast` number, since 3 + 49 + 7 + 601 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40050 + ... + 40913.

It is an arithmetic number, because the mean of its divisors is an integer number (2509884).

Almost surely, 2^34976016 is an apocalyptic number.

34976016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34976016 is an abundant number, since it is smaller than the sum of its proper divisors (65419344).

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

34976016 is a wasteful number, since it uses less digits than its factorization.

34976016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80980 (or 80968 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 34976016 is about 5914.0524177589. The cubic root of 34976016 is about 327.0318965604.

The spelling of 34976016 in words is "thirty-four million, nine hundred seventy-six thousand, sixteen".