345232542960 has 400 divisors, whose sum is σ = 1272147148800. Its totient is φ = 86525978112.

The previous prime is 345232542959. The next prime is 345232542983. The reversal of 345232542960 is 69245232543.

345232542960 is a `hidden beast` number, since 3 + 4 + 523 + 25 + 42 + 9 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15625201 + ... + 15647279.

It is an arithmetic number, because the mean of its divisors is an integer number (3180367872).

Almost surely, 2^345232542960 is an apocalyptic number.

345232542960 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 345232542960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636073574400).

345232542960 is an abundant number, since it is smaller than the sum of its proper divisors (926914605840).

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

345232542960 is a wasteful number, since it uses less digits than its factorization.

345232542960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22250 (or 22235 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 345232542960 in words is "three hundred forty-five billion, two hundred thirty-two million, five hundred forty-two thousand, nine hundred sixty".