34691904 has 168 divisors, whose sum is σ = 110669832. Its totient is φ = 10321920.

The previous prime is 34691837. The next prime is 34691911. The reversal of 34691904 is 40919643.

34691904 is a `hidden beast` number, since 3 + 469 + 190 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5531904 + 29160000 = 2352^2 + 5400^2 .

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

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, 306952 + ... + 307064.

It is an arithmetic number, because the mean of its divisors is an integer number (658749).

Almost surely, 2^34691904 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 34691904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55334916).

34691904 is an abundant number, since it is smaller than the sum of its proper divisors (75977928).

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

34691904 is a wasteful number, since it uses less digits than its factorization.

34691904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 34691904 is about 5889.9833616064. The cubic root of 34691904 is about 326.1439889856.

The spelling of 34691904 in words is "thirty-four million, six hundred ninety-one thousand, nine hundred four".