345924820800 has 1680 divisors, whose sum is σ = 1459771568640. Its totient is φ = 79705866240.

The previous prime is 345924820799. The next prime is 345924820811. The reversal of 345924820800 is 8028429543.

345924820800 is a `hidden beast` number, since 3 + 4 + 5 + 92 + 482 + 0 + 80 + 0 = 666.

It is a super-2 number, since 2×345924820800² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3061281544 + ... + 3061281656.

It is an arithmetic number, because the mean of its divisors is an integer number (868911648).

Almost surely, 2^345924820800 is an apocalyptic number.

345924820800 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 345924820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729885784320).

345924820800 is an abundant number, since it is smaller than the sum of its proper divisors (1113846747840).

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

345924820800 is a wasteful number, since it uses less digits than its factorization.

345924820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 345924820800 in words is "three hundred forty-five billion, nine hundred twenty-four million, eight hundred twenty thousand, eight hundred".