345937600800 has 432 divisors, whose sum is σ = 1333024868448. Its totient is φ = 83720908800.

The previous prime is 345937600777. The next prime is 345937600891. The reversal of 345937600800 is 8006739543.

345937600800 is a `hidden beast` number, since 3 + 4 + 5 + 9 + 37 + 600 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50922204 + ... + 50928996.

It is an arithmetic number, because the mean of its divisors is an integer number (3085705714).

Almost surely, 2^345937600800 is an apocalyptic number.

345937600800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345937600800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666512434224).

345937600800 is an abundant number, since it is smaller than the sum of its proper divisors (987087267648).

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

345937600800 is a wasteful number, since it uses less digits than its factorization.

345937600800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7473 (or 7457 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 345937600800 in words is "three hundred forty-five billion, nine hundred thirty-seven million, six hundred thousand, eight hundred".