34013544642 has 96 divisors (see below), whose sum is σ = 93044090880. Its totient is φ = 8722827360.

The previous prime is 34013544623. The next prime is 34013544661. The reversal of 34013544642 is 24644531043.

34013544642 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 3 + 5 + 4 + 4 + 642 = 666.

It is an interprime number because it is at equal distance from previous prime (34013544623) and next prime (34013544661).

It is a super-2 number, since 2×34013544642² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34013544597 and 34013544606.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45828 + ... + 264815.

It is an arithmetic number, because the mean of its divisors is an integer number (969209280).

Almost surely, 2^34013544642 is an apocalyptic number.

34013544642 is an abundant number, since it is smaller than the sum of its proper divisors (59030546238).

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

34013544642 is a wasteful number, since it uses less digits than its factorization.

34013544642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310748 (or 310745 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 34013544642 in words is "thirty-four billion, thirteen million, five hundred forty-four thousand, six hundred forty-two".