34116099264 has 224 divisors, whose sum is σ = 111736632000. Its totient is φ = 10135093248.

The previous prime is 34116099263. The next prime is 34116099301. The reversal of 34116099264 is 46299061143.

34116099264 is a `hidden beast` number, since 3 + 4 + 11 + 609 + 9 + 26 + 4 = 666.

It is a super-2 number, since 2×34116099264² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (34116099263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 625272 + ... + 677640.

It is an arithmetic number, because the mean of its divisors is an integer number (498824250).

Almost surely, 2^34116099264 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 34116099264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55868316000).

34116099264 is an abundant number, since it is smaller than the sum of its proper divisors (77620532736).

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

34116099264 is a wasteful number, since it uses less digits than its factorization.

34116099264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52432 (or 52416 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 34116099264 in words is "thirty-four billion, one hundred sixteen million, ninety-nine thousand, two hundred sixty-four".