34957131776 has 128 divisors (see below), whose sum is σ = 80346958560. Its totient is φ = 14898167808.

The previous prime is 34957131757. The next prime is 34957131791. The reversal of 34957131776 is 67713175943.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58949336 + ... + 58949928.

Almost surely, 2^34957131776 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 34957131776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40173479280).

34957131776 is an abundant number, since it is smaller than the sum of its proper divisors (45389826784).

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

34957131776 is an frugal number, since it uses more digits than its factorization.

34957131776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 859 counting only the distinct ones).

The product of its digits is 3333960, while the sum is 53.

The spelling of 34957131776 in words is "thirty-four billion, nine hundred fifty-seven million, one hundred thirty-one thousand, seven hundred seventy-six".