34788761856 has 54 divisors (see below), whose sum is σ = 100304583470. Its totient is φ = 11596253184.

The previous prime is 34788761747. The next prime is 34788761899. The reversal of 34788761856 is 65816788743.

34788761856 is a `hidden beast` number, since 3 + 4 + 7 + 8 + 8 + 7 + 618 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26321817600 + 8466944256 = 162240^2 + 92016^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34788761793 and 34788761802.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7547341 + ... + 7551948.

Almost surely, 2^34788761856 is an apocalyptic number.

34788761856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34788761856 is an abundant number, since it is smaller than the sum of its proper divisors (65515821614).

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

34788761856 is a wasteful number, since it uses less digits than its factorization.

34788761856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15099311 (or 15099294 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 63.

The spelling of 34788761856 in words is "thirty-four billion, seven hundred eighty-eight million, seven hundred sixty-one thousand, eight hundred fifty-six".