345437705232 has 240 divisors, whose sum is σ = 1024708164480. Its totient is φ = 108470476800.

The previous prime is 345437705227. The next prime is 345437705257. The reversal of 345437705232 is 232507734543.

345437705232 is a `hidden beast` number, since 3 + 4 + 54 + 3 + 7 + 70 + 523 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 28754107 + ... + 28766117.

It is an arithmetic number, because the mean of its divisors is an integer number (4269617352).

Almost surely, 2^345437705232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345437705232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512354082240).

345437705232 is an abundant number, since it is smaller than the sum of its proper divisors (679270459248).

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

345437705232 is a wasteful number, since it uses less digits than its factorization.

345437705232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12222 (or 12213 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 45.

The spelling of 345437705232 in words is "three hundred forty-five billion, four hundred thirty-seven million, seven hundred five thousand, two hundred thirty-two".