34976872 has 64 divisors (see below), whose sum is σ = 80179200. Its totient is φ = 13970880.

The previous prime is 34976861. The next prime is 34976917. The reversal of 34976872 is 27867943.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75313 + ... + 75775.

It is an arithmetic number, because the mean of its divisors is an integer number (1252800).

Almost surely, 2^34976872 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 34976872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40089600).

34976872 is an abundant number, since it is smaller than the sum of its proper divisors (45202328).

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

34976872 is a wasteful number, since it uses less digits than its factorization.

34976872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 562 counting only the distinct ones).

The product of its digits is 508032, while the sum is 46.

The square root of 34976872 is about 5914.1247873206. The cubic root of 34976872 is about 327.0345644554.

The spelling of 34976872 in words is "thirty-four million, nine hundred seventy-six thousand, eight hundred seventy-two".