34995503136 has 192 divisors, whose sum is σ = 108114362496. Its totient is φ = 9792307200.

The previous prime is 34995503129. The next prime is 34995503141. The reversal of 34995503136 is 63130559943.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 933066 + ... + 969846.

It is an arithmetic number, because the mean of its divisors is an integer number (563095638).

Almost surely, 2^34995503136 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 34995503136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54057181248).

34995503136 is an abundant number, since it is smaller than the sum of its proper divisors (73118859360).

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

34995503136 is a wasteful number, since it uses less digits than its factorization.

34995503136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36875 (or 36867 counting only the distinct ones).

The product of its (nonzero) digits is 1312200, while the sum is 48.

The spelling of 34995503136 in words is "thirty-four billion, nine hundred ninety-five million, five hundred three thousand, one hundred thirty-six".