34504993920 has 128 divisors (see below), whose sum is σ = 113532756480. Its totient is φ = 8904499200.

The previous prime is 34504993847. The next prime is 34504993931. The reversal of 34504993920 is 2939940543.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 34504993920.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230341 + ... + 349380.

It is an arithmetic number, because the mean of its divisors is an integer number (886974660).

Almost surely, 2^34504993920 is an apocalyptic number.

34504993920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34504993920 is an abundant number, since it is smaller than the sum of its proper divisors (79027762560).

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

34504993920 is a wasteful number, since it uses less digits than its factorization.

34504993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579774 (or 579762 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 48.

The spelling of 34504993920 in words is "thirty-four billion, five hundred four million, nine hundred ninety-three thousand, nine hundred twenty".