34079383872 has 84 divisors (see below), whose sum is σ = 101050808820. Its totient is φ = 10968072192.

The previous prime is 34079383867. The next prime is 34079383913. The reversal of 34079383872 is 27838397043.

34079383872 is a `hidden beast` number, since 3 + 407 + 93 + 83 + 8 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10919414016 + 23159969856 = 104496^2 + 152184^2 .

It is a super-2 number, since 2×34079383872² (a number of 22 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 11 ways as a sum of consecutive naturals, for example, 1003393 + ... + 1036800.

Almost surely, 2^34079383872 is an apocalyptic number.

34079383872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34079383872 is an abundant number, since it is smaller than the sum of its proper divisors (66971424948).

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

34079383872 is a wasteful number, since it uses less digits than its factorization.

34079383872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040240 (or 2040227 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 34079383872 in words is "thirty-four billion, seventy-nine million, three hundred eighty-three thousand, eight hundred seventy-two".