345405937694400 has 1008 divisors, whose sum is σ = 1428651222691840. Its totient is φ = 81033613056000.

The previous prime is 345405937694399. The next prime is 345405937694551. The reversal of 345405937694400 is 4496739504543.

It is a happy number.

345405937694400 is a `hidden beast` number, since 3 + 4 + 5 + 40 + 5 + 93 + 7 + 69 + 440 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 160977417 + ... + 163108983.

Almost surely, 2^{345405937694400} is an apocalyptic number.

345405937694400 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 345405937694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714325611345920).

345405937694400 is an abundant number, since it is smaller than the sum of its proper divisors (1083245284997440).

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

345405937694400 is a wasteful number, since it uses less digits than its factorization.

345405937694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131651 (or 2131619 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 63.

The spelling of 345405937694400 in words is "three hundred forty-five trillion, four hundred five billion, nine hundred thirty-seven million, six hundred ninety-four thousand, four hundred".