34137422592 has 144 divisors (see below), whose sum is σ = 111822170880. Its totient is φ = 9003257856.

The previous prime is 34137422513. The next prime is 34137422593. The reversal of 34137422592 is 29522473143.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (34137422593) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174342 + ... + 314117.

Almost surely, 2^34137422592 is an apocalyptic number.

34137422592 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34137422592 is an abundant number, since it is smaller than the sum of its proper divisors (77684748288).

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

34137422592 is a wasteful number, since it uses less digits than its factorization.

34137422592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488498 (or 488484 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The spelling of 34137422592 in words is "thirty-four billion, one hundred thirty-seven million, four hundred twenty-two thousand, five hundred ninety-two".