34012315680 has 96 divisors (see below), whose sum is σ = 122444348544. Its totient is φ = 7774242816.

The previous prime is 34012315627. The next prime is 34012315691. The reversal of 34012315680 is 8651321043.

It is a tau number, because it is divible by the number of its divisors (96).

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, 5057997 + ... + 5064716.

It is an arithmetic number, because the mean of its divisors is an integer number (1275461964).

Almost surely, 2^34012315680 is an apocalyptic number.

34012315680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34012315680 is an abundant number, since it is smaller than the sum of its proper divisors (88432032864).

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

34012315680 is a wasteful number, since it uses less digits than its factorization.

34012315680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10122738 (or 10122730 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 34012315680 in words is "thirty-four billion, twelve million, three hundred fifteen thousand, six hundred eighty".