34976480 has 192 divisors, whose sum is σ = 109734912. Its totient is φ = 10199040.

The previous prime is 34976477. The next prime is 34976509. The reversal of 34976480 is 8467943.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 209357 + ... + 209523.

It is an arithmetic number, because the mean of its divisors is an integer number (571536).

Almost surely, 2^34976480 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 34976480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54867456).

34976480 is an abundant number, since it is smaller than the sum of its proper divisors (74758432).

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

34976480 is a wasteful number, since it uses less digits than its factorization.

34976480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 34976480 is about 5914.0916462294. The cubic root of 34976480 is about 327.0333427145.

The spelling of 34976480 in words is "thirty-four million, nine hundred seventy-six thousand, four hundred eighty".