34094802967992 has 512 divisors, whose sum is σ = 110188250726400. Its totient is φ = 9795722065920.

The previous prime is 34094802967987. The next prime is 34094802968041. The reversal of 34094802967992 is 29976920849043.

34094802967992 is a `hidden beast` number, since 3 + 409 + 48 + 0 + 2 + 96 + 7 + 9 + 92 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 34094802967992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 491025517 + ... + 491094947.

It is an arithmetic number, because the mean of its divisors is an integer number (215211427200).

Almost surely, 2^{34094802967992} 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 34094802967992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55094125363200).

34094802967992 is an abundant number, since it is smaller than the sum of its proper divisors (76093447758408).

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

34094802967992 is a wasteful number, since it uses less digits than its factorization.

34094802967992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69615 (or 69593 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 34094802967992 in words is "thirty-four trillion, ninety-four billion, eight hundred two million, nine hundred sixty-seven thousand, nine hundred ninety-two".