34137310772832 has 48 divisors (see below), whose sum is σ = 89985379921920. Its totient is φ = 11331492271232.

The previous prime is 34137310772821. The next prime is 34137310772857. The reversal of 34137310772832 is 23827701373143.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×34137310772832² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 743903808 + ... + 743949695.

It is an arithmetic number, because the mean of its divisors is an integer number (1874695415040).

Almost surely, 2^{34137310772832} is an apocalyptic number.

34137310772832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34137310772832 is an abundant number, since it is smaller than the sum of its proper divisors (55848069149088).

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

34137310772832 is a wasteful number, since it uses less digits than its factorization.

34137310772832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487853755 (or 1487853747 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 51.

The spelling of 34137310772832 in words is "thirty-four trillion, one hundred thirty-seven billion, three hundred ten million, seven hundred seventy-two thousand, eight hundred thirty-two".