345926131632 has 240 divisors, whose sum is σ = 1020233200896. Its totient is φ = 109264896000.

The previous prime is 345926131517. The next prime is 345926131669. The reversal of 345926131632 is 236131629543.

345926131632 is a `hidden beast` number, since 3 + 4 + 5 + 9 + 2 + 6 + 1 + 3 + 1 + 632 = 666.

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, 151654332 + ... + 151656612.

Almost surely, 2^345926131632 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 345926131632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510116600448).

345926131632 is an abundant number, since it is smaller than the sum of its proper divisors (674307069264).

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

345926131632 is a wasteful number, since it uses less digits than its factorization.

345926131632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3020 (or 3011 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The spelling of 345926131632 in words is "three hundred forty-five billion, nine hundred twenty-six million, one hundred thirty-one thousand, six hundred thirty-two".