34190800616784 has 320 divisors, whose sum is σ = 109068467742720. Its totient is φ = 9012798720000.

The previous prime is 34190800616717. The next prime is 34190800616809. The reversal of 34190800616784 is 48761600809143.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38897179 + ... + 39766469.

It is an arithmetic number, because the mean of its divisors is an integer number (340838961696).

Almost surely, 2^{34190800616784} 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 34190800616784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54534233871360).

34190800616784 is an abundant number, since it is smaller than the sum of its proper divisors (74877667125936).

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

34190800616784 is a wasteful number, since it uses less digits than its factorization.

34190800616784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869490 (or 869484 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 34190800616784 in words is "thirty-four trillion, one hundred ninety billion, eight hundred million, six hundred sixteen thousand, seven hundred eighty-four".