34100792896 has 63 divisors (see below), whose sum is σ = 69482888593. Its totient is φ = 16604986880.

The previous prime is 34100792863. The next prime is 34100792903. The reversal of 34100792896 is 69829700143.

The square root of 34100792896 is 184664.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1643167296 + 32457625600 = 40536^2 + 180160^2 .

It is a super-2 number, since 2×34100792896² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 60569511 + ... + 60570073.

Almost surely, 2^34100792896 is an apocalyptic number.

34100792896 is the 184664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34100792896

34100792896 is an abundant number, since it is smaller than the sum of its proper divisors (35382095697).

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

34100792896 is an frugal number, since it uses more digits than its factorization.

34100792896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

Multiplying 34100792896 by its sum of digits (49), we get a square (1670938851904 = 1292648²).

The spelling of 34100792896 in words is "thirty-four billion, one hundred million, seven hundred ninety-two thousand, eight hundred ninety-six".