34931904 has 168 divisors, whose sum is σ = 111191040. Its totient is φ = 9644544.

The previous prime is 34931903. The next prime is 34931909. The reversal of 34931904 is 40913943.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (34931903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442137 + ... + 442215.

Almost surely, 2^34931904 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 34931904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55595520).

34931904 is an abundant number, since it is smaller than the sum of its proper divisors (76259136).

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

34931904 is a wasteful number, since it uses less digits than its factorization.

34931904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 34931904 is about 5910.3218186491. The cubic root of 34931904 is about 326.8943537366.

The spelling of 34931904 in words is "thirty-four million, nine hundred thirty-one thousand, nine hundred four".