34015733928 has 72 divisors (see below), whose sum is σ = 101262429450. Its totient is φ = 10307795520.

The previous prime is 34015733923. The next prime is 34015733929. The reversal of 34015733928 is 82933751043.

34015733928 is a `hidden beast` number, since 3 + 40 + 1 + 573 + 39 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18074651364 + 15941082564 = 134442^2 + 126258^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (34015733923) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1943523 + ... + 1960946.

Almost surely, 2^34015733928 is an apocalyptic number.

It is an amenable number.

34015733928 is an abundant number, since it is smaller than the sum of its proper divisors (67246695522).

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

34015733928 is a wasteful number, since it uses less digits than its factorization.

34015733928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3904503 (or 3904485 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 34015733928 in words is "thirty-four billion, fifteen million, seven hundred thirty-three thousand, nine hundred twenty-eight".