345210662160 has 960 divisors, whose sum is σ = 1499850432000. Its totient is φ = 71433363456.

The previous prime is 345210662131. The next prime is 345210662171. The reversal of 345210662160 is 61266012543.

345210662160 is a `hidden beast` number, since 3 + 4 + 5 + 21 + 0 + 6 + 621 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 135428566 + ... + 135431114.

It is an arithmetic number, because the mean of its divisors is an integer number (1562344200).

Almost surely, 2^345210662160 is an apocalyptic number.

345210662160 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 345210662160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749925216000).

345210662160 is an abundant number, since it is smaller than the sum of its proper divisors (1154639769840).

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

345210662160 is a wasteful number, since it uses less digits than its factorization.

345210662160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 345210662160 in words is "three hundred forty-five billion, two hundred ten million, six hundred sixty-two thousand, one hundred sixty".