345995366400 has 624 divisors, whose sum is σ = 1326564558720. Its totient is φ = 88237670400.

The previous prime is 345995366371. The next prime is 345995366411. The reversal of 345995366400 is 4663599543.

345995366400 is a `hidden beast` number, since 3 + 4 + 599 + 5 + 3 + 6 + 6 + 40 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 63587680 + ... + 63593120.

Almost surely, 2^345995366400 is an apocalyptic number.

345995366400 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 345995366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663282279360).

345995366400 is an abundant number, since it is smaller than the sum of its proper divisors (980569192320).

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

345995366400 is a wasteful number, since it uses less digits than its factorization.

345995366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5507 (or 5474 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 345995366400 in words is "three hundred forty-five billion, nine hundred ninety-five million, three hundred sixty-six thousand, four hundred".