34131976798536 has 48 divisors (see below), whose sum is σ = 92455290470400. Its totient is φ = 11375538525792.

The previous prime is 34131976798357. The next prime is 34131976798583. The reversal of 34131976798536 is 63589767913143.

34131976798536 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 19 + 7 + 6 + 79 + 8 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36769096 + ... + 37685943.

It is an arithmetic number, because the mean of its divisors is an integer number (1926151884800).

Almost surely, 2^{34131976798536} is an apocalyptic number.

34131976798536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34131976798536 is an abundant number, since it is smaller than the sum of its proper divisors (58323313671864).

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

34131976798536 is a wasteful number, since it uses less digits than its factorization.

34131976798536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74461418 (or 74461411 counting only the distinct ones).

The product of its digits is 617258880, while the sum is 72.

The spelling of 34131976798536 in words is "thirty-four trillion, one hundred thirty-one billion, nine hundred seventy-six million, seven hundred ninety-eight thousand, five hundred thirty-six".