345527941800 has 48 divisors (see below), whose sum is σ = 1071136621440. Its totient is φ = 92140784320.

The previous prime is 345527941783. The next prime is 345527941813. The reversal of 345527941800 is 8149725543.

It is a self number, because there is not a number n which added to its sum of digits gives 345527941800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 287939352 + ... + 287940551.

It is an arithmetic number, because the mean of its divisors is an integer number (22315346280).

Almost surely, 2^345527941800 is an apocalyptic number.

345527941800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345527941800 is an abundant number, since it is smaller than the sum of its proper divisors (725608679640).

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

345527941800 is a wasteful number, since it uses less digits than its factorization.

345527941800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575879922 (or 575879913 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 345527941800 in words is "three hundred forty-five billion, five hundred twenty-seven million, nine hundred forty-one thousand, eight hundred".