345946885200 has 1200 divisors, whose sum is σ = 1529178872320. Its totient is φ = 73130480640.

The previous prime is 345946885147. The next prime is 345946885217. The reversal of 345946885200 is 2588649543.

345946885200 is a `hidden beast` number, since 3 + 4 + 59 + 4 + 68 + 8 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 185294667 + ... + 185296533.

Almost surely, 2^345946885200 is an apocalyptic number.

345946885200 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 345946885200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764589436160).

345946885200 is an abundant number, since it is smaller than the sum of its proper divisors (1183231987120).

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

345946885200 is a wasteful number, since it uses less digits than its factorization.

345946885200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 345946885200 in words is "three hundred forty-five billion, nine hundred forty-six million, eight hundred eighty-five thousand, two hundred".