34939812804864 has 288 divisors, whose sum is σ = 101918761297920. Its totient is φ = 10538374963200.

The previous prime is 34939812804823. The next prime is 34939812804881. The reversal of 34939812804864 is 46840821893943.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7048577874 + ... + 7048582830.

It is an arithmetic number, because the mean of its divisors is an integer number (353884587840).

Almost surely, 2^{34939812804864} 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 34939812804864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50959380648960).

34939812804864 is an abundant number, since it is smaller than the sum of its proper divisors (66978948493056).

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

34939812804864 is a wasteful number, since it uses less digits than its factorization.

34939812804864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8717 (or 8703 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 69.

The spelling of 34939812804864 in words is "thirty-four trillion, nine hundred thirty-nine billion, eight hundred twelve million, eight hundred four thousand, eight hundred sixty-four".