34870799795904 has 392 divisors, whose sum is σ = 109523744619840. Its totient is φ = 10980000271872.

The previous prime is 34870799795893. The next prime is 34870799795939. The reversal of 34870799795904 is 40959799707843.

34870799795904 is a `hidden beast` number, since 348 + 70 + 7 + 99 + 79 + 59 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 307546327 + ... + 307659689.

Almost surely, 2^{34870799795904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34870799795904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54761872309920).

34870799795904 is an abundant number, since it is smaller than the sum of its proper divisors (74652944823936).

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

34870799795904 is a wasteful number, since it uses less digits than its factorization.

34870799795904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113759 (or 113734 counting only the distinct ones).

The product of its (nonzero) digits is 4320812160, while the sum is 81.

The spelling of 34870799795904 in words is "thirty-four trillion, eight hundred seventy billion, seven hundred ninety-nine million, seven hundred ninety-five thousand, nine hundred four".