345578931032832 has 648 divisors, whose sum is σ = 1266834124063872. Its totient is φ = 89931069849600.

The previous prime is 345578931032821. The next prime is 345578931032861. The reversal of 345578931032832 is 238230139875543.

345578931032832 is a `hidden beast` number, since 3 + 4 + 5 + 578 + 9 + 3 + 1 + 0 + 3 + 28 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 345578931032832.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56591982 + ... + 62400402.

Almost surely, 2^{345578931032832} is an apocalyptic number.

345578931032832 is a gapful number since it is divisible by the number (32) 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 345578931032832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633417062031936).

345578931032832 is an abundant number, since it is smaller than the sum of its proper divisors (921255193031040).

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

345578931032832 is a wasteful number, since it uses less digits than its factorization.

345578931032832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5808505 (or 5808481 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 345578931032832 in words is "three hundred forty-five trillion, five hundred seventy-eight billion, nine hundred thirty-one million, thirty-two thousand, eight hundred thirty-two".