3413979791232 has 64 divisors (see below), whose sum is σ = 9114416427600. Its totient is φ = 1132216623104.

The previous prime is 3413979791227. The next prime is 3413979791239. The reversal of 3413979791232 is 2321979793143.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×3413979791232³ (a number of 39 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413979791239) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22489257 + ... + 22640552.

Almost surely, 2^{3413979791232} is an apocalyptic number.

3413979791232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3413979791232 is an abundant number, since it is smaller than the sum of its proper divisors (5700436636368).

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

3413979791232 is a wasteful number, since it uses less digits than its factorization.

3413979791232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45130023 (or 45130011 counting only the distinct ones).

The product of its digits is 15431472, while the sum is 60.

The spelling of 3413979791232 in words is "three trillion, four hundred thirteen billion, nine hundred seventy-nine million, seven hundred ninety-one thousand, two hundred thirty-two".