345365752320 has 480 divisors, whose sum is σ = 1280483043840. Its totient is φ = 89121669120.

The previous prime is 345365752271. The next prime is 345365752339. The reversal of 345365752320 is 23257563543.

345365752320 is a `hidden beast` number, since 3 + 4 + 5 + 36 + 575 + 23 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

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, 19275526 + ... + 19293434.

It is an arithmetic number, because the mean of its divisors is an integer number (2667673008).

Almost surely, 2^345365752320 is an apocalyptic number.

345365752320 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 345365752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640241521920).

345365752320 is an abundant number, since it is smaller than the sum of its proper divisors (935117291520).

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

345365752320 is an equidigital number, since it uses as much as digits as its factorization.

345365752320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17978 (or 17950 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 45.

The spelling of 345365752320 in words is "three hundred forty-five billion, three hundred sixty-five million, seven hundred fifty-two thousand, three hundred twenty".