34900777152 has 140 divisors (see below), whose sum is σ = 108902240920. Its totient is φ = 11021266944.

The previous prime is 34900777141. The next prime is 34900777189. The reversal of 34900777152 is 25177700943.

34900777152 is a `hidden beast` number, since 3 + 490 + 0 + 7 + 7 + 7 + 152 = 666.

It is a super-2 number, since 2×34900777152² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34900777098 and 34900777107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 78673 + ... + 275664.

Almost surely, 2^34900777152 is an apocalyptic number.

34900777152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34900777152 is an abundant number, since it is smaller than the sum of its proper divisors (74001463768).

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

34900777152 is a wasteful number, since it uses less digits than its factorization.

34900777152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354380 (or 354361 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 34900777152 in words is "thirty-four billion, nine hundred million, seven hundred seventy-seven thousand, one hundred fifty-two".