345852460800 has 2592 divisors, whose sum is σ = 1698966259200. Its totient is φ = 67151462400.

The previous prime is 345852460777. The next prime is 345852460813. The reversal of 345852460800 is 8064258543.

345852460800 is a `hidden beast` number, since 3 + 4 + 585 + 2 + 4 + 60 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×345852460800² (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 287 ways as a sum of consecutive naturals, for example, 2488147131 + ... + 2488147269.

Almost surely, 2^345852460800 is an apocalyptic number.

345852460800 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 345852460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849483129600).

345852460800 is an abundant number, since it is smaller than the sum of its proper divisors (1353113798400).

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

345852460800 is a wasteful number, since it uses less digits than its factorization.

345852460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 345852460800 in words is "three hundred forty-five billion, eight hundred fifty-two million, four hundred sixty thousand, eight hundred".