345679501939200 has 4320 divisors, whose sum is σ = 1576344281383872. Its totient is φ = 71257522176000.

The previous prime is 345679501939111. The next prime is 345679501939351. The reversal of 345679501939200 is 2939105976543.

345679501939200 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 79 + 501 + 9 + 39 + 20 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 220037874415 + ... + 220037875985.

Almost surely, 2^{345679501939200} is an apocalyptic number.

345679501939200 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 345679501939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788172140691936).

345679501939200 is an abundant number, since it is smaller than the sum of its proper divisors (1230664779444672).

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

345679501939200 is a wasteful number, since it uses less digits than its factorization.

345679501939200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 55112400, while the sum is 63.

The spelling of 345679501939200 in words is "three hundred forty-five trillion, six hundred seventy-nine billion, five hundred one million, nine hundred thirty-nine thousand, two hundred".