345633700040 has 96 divisors (see below), whose sum is σ = 826709051520. Its totient is φ = 130026949632.

The previous prime is 345633700003. The next prime is 345633700063. The reversal of 345633700040 is 40007336543.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17179667 + ... + 17199773.

It is an arithmetic number, because the mean of its divisors is an integer number (8611552620).

Almost surely, 2^345633700040 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 345633700040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413354525760).

345633700040 is an abundant number, since it is smaller than the sum of its proper divisors (481075351480).

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

345633700040 is a wasteful number, since it uses less digits than its factorization.

345633700040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21639 (or 21618 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 35.

The spelling of 345633700040 in words is "three hundred forty-five billion, six hundred thirty-three million, seven hundred thousand, forty".