34502891904 has 384 divisors, whose sum is σ = 111486473280. Its totient is φ = 10172252160.

The previous prime is 34502891887. The next prime is 34502891911. The reversal of 34502891904 is 40919820543.

34502891904 is a `hidden beast` number, since 3 + 450 + 2 + 8 + 9 + 190 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 34502891904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39341514 + ... + 39342390.

Almost surely, 2^34502891904 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 34502891904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55743236640).

34502891904 is an abundant number, since it is smaller than the sum of its proper divisors (76983581376).

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

34502891904 is a wasteful number, since it uses less digits than its factorization.

34502891904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 34502891904 in words is "thirty-four billion, five hundred two million, eight hundred ninety-one thousand, nine hundred four".