345727872000 has 1408 divisors, whose sum is σ = 1510721372160. Its totient is φ = 76308480000.

The previous prime is 345727871989. The next prime is 345727872001. The reversal of 345727872000 is 278727543.

345727872000 is a `hidden beast` number, since 3 + 4 + 572 + 7 + 8 + 72 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×345727872000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (345727872001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 749951770 + ... + 749952230.

It is an arithmetic number, because the mean of its divisors is an integer number (1072955520).

Almost surely, 2^345727872000 is an apocalyptic number.

345727872000 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 345727872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755360686080).

345727872000 is an abundant number, since it is smaller than the sum of its proper divisors (1164993500160).

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

345727872000 is a wasteful number, since it uses less digits than its factorization.

345727872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 345727872000 in words is "three hundred forty-five billion, seven hundred twenty-seven million, eight hundred seventy-two thousand".