34956334368 has 72 divisors (see below), whose sum is σ = 104639043600. Its totient is φ = 11038840704.

The previous prime is 34956334367. The next prime is 34956334393. The reversal of 34956334368 is 86343365943.

It is a happy number.

34956334368 is a `hidden beast` number, since 3 + 49 + 563 + 3 + 4 + 36 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-4 number, since 4×34956334368⁴ (a number of 43 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (34956334367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3188638 + ... + 3199581.

It is an arithmetic number, because the mean of its divisors is an integer number (1453320050).

Almost surely, 2^34956334368 is an apocalyptic number.

34956334368 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

34956334368 is an abundant number, since it is smaller than the sum of its proper divisors (69682709232).

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

34956334368 is a wasteful number, since it uses less digits than its factorization.

34956334368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6388254 (or 6388243 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 54.

The spelling of 34956334368 in words is "thirty-four billion, nine hundred fifty-six million, three hundred thirty-four thousand, three hundred sixty-eight".