34501431879 has 48 divisors (see below), whose sum is σ = 50738688000. Its totient is φ = 22589236800.

The previous prime is 34501431857. The next prime is 34501431929. The reversal of 34501431879 is 97813410543.

34501431879 is a `hidden beast` number, since 3 + 450 + 14 + 3 + 187 + 9 = 666.

It is not a de Polignac number, because 34501431879 - 2¹⁶ = 34501366343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34501431179) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78590742 + ... + 78591180.

It is an arithmetic number, because the mean of its divisors is an integer number (1057056000).

Almost surely, 2^34501431879 is an apocalyptic number.

34501431879 is a deficient number, since it is larger than the sum of its proper divisors (16237256121).

34501431879 is a wasteful number, since it uses less digits than its factorization.

34501431879 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 34501431879 in words is "thirty-four billion, five hundred one million, four hundred thirty-one thousand, eight hundred seventy-nine".