345437471836800 has 2304 divisors, whose sum is σ = 1553373692006400. Its totient is φ = 74631932928000.

The previous prime is 345437471836759. The next prime is 345437471836819. The reversal of 345437471836800 is 8638174734543.

345437471836800 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 3 + 7 + 471 + 83 + 6 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5643358195 + ... + 5643419405.

It is an arithmetic number, because the mean of its divisors is an integer number (674207331600).

Almost surely, 2^{345437471836800} is an apocalyptic number.

345437471836800 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 345437471836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776686846003200).

345437471836800 is an abundant number, since it is smaller than the sum of its proper divisors (1207936220169600).

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

345437471836800 is a wasteful number, since it uses less digits than its factorization.

345437471836800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61332 (or 61302 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 345437471836800 in words is "three hundred forty-five trillion, four hundred thirty-seven billion, four hundred seventy-one million, eight hundred thirty-six thousand, eight hundred".