347972404365800 has 384 divisors, whose sum is σ = 848663682048000. Its totient is φ = 132577234944000.

The previous prime is 347972404365799. The next prime is 347972404365823. The reversal of 347972404365800 is 8563404279743.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29234002649 + ... + 29234014551.

It is an arithmetic number, because the mean of its divisors is an integer number (2210061672000).

Almost surely, 2^{347972404365800} 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 347972404365800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424331841024000).

347972404365800 is an abundant number, since it is smaller than the sum of its proper divisors (500691277682200).

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

347972404365800 is a wasteful number, since it uses less digits than its factorization.

347972404365800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12517 (or 12508 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 62.

The spelling of 347972404365800 in words is "three hundred forty-seven trillion, nine hundred seventy-two billion, four hundred four million, three hundred sixty-five thousand, eight hundred".