34731977160 has 256 divisors, whose sum is σ = 114380605440. Its totient is φ = 8399093760.

The previous prime is 34731977153. The next prime is 34731977201. The reversal of 34731977160 is 6177913743.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16251612 + ... + 16253748.

It is an arithmetic number, because the mean of its divisors is an integer number (446799240).

Almost surely, 2^34731977160 is an apocalyptic number.

34731977160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34731977160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57190302720).

34731977160 is an abundant number, since it is smaller than the sum of its proper divisors (79648628280).

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

34731977160 is a wasteful number, since it uses less digits than its factorization.

34731977160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 48.

The spelling of 34731977160 in words is "thirty-four billion, seven hundred thirty-one million, nine hundred seventy-seven thousand, one hundred sixty".