34399820298496 has 81 divisors (see below), whose sum is σ = 72945378583441. Its totient is φ = 16187399991296.

The previous prime is 34399820298451. The next prime is 34399820298509. The reversal of 34399820298496 is 69489202899343.

The square root of 34399820298496 is 5865136.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 26781867014400 + 7617953284096 = 5175120^2 + 2760064^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1595306211 + ... + 1595327773.

Almost surely, 2^{34399820298496} is an apocalyptic number.

34399820298496 is the 5865136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34399820298496

34399820298496 is an abundant number, since it is smaller than the sum of its proper divisors (38545558284945).

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

34399820298496 is an frugal number, since it uses more digits than its factorization.

34399820298496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43176 (or 21582 counting only the distinct ones).

The product of its (nonzero) digits is 1451188224, while the sum is 76.

The spelling of 34399820298496 in words is "thirty-four trillion, three hundred ninety-nine billion, eight hundred twenty million, two hundred ninety-eight thousand, four hundred ninety-six".