34915912164 has 135 divisors (see below), whose sum is σ = 106251119667. Its totient is φ = 9969248016.

The previous prime is 34915912127. The next prime is 34915912189. The reversal of 34915912164 is 46121951943.

The square root of 34915912164 is 186858.

It is a perfect power (a square), and thus also a powerful number.

34915912164 is a `hidden beast` number, since 3 + 49 + 1 + 591 + 2 + 16 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 23543367 + ... + 23544849.

Almost surely, 2^34915912164 is an apocalyptic number.

34915912164 is the 186858-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34915912164

34915912164 is an abundant number, since it is smaller than the sum of its proper divisors (71335207503).

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

34915912164 is an equidigital number, since it uses as much as digits as its factorization.

34915912164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 1495 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 34915912164 in words is "thirty-four billion, nine hundred fifteen million, nine hundred twelve thousand, one hundred sixty-four".