3368913580032 has 936 divisors, whose sum is σ = 12372498029808. Its totient is φ = 807504445440.

The previous prime is 3368913580031. The next prime is 3368913580069. The reversal of 3368913580032 is 2300853198633.

It is a super-2 number, since 2×3368913580032² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3368913580031) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 947120398 + ... + 947123954.

Almost surely, 2^{3368913580032} is an apocalyptic number.

3368913580032 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 3368913580032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6186249014904).

3368913580032 is an abundant number, since it is smaller than the sum of its proper divisors (9003584449776).

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

3368913580032 is a wasteful number, since it uses less digits than its factorization.

3368913580032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 3368913580032 in words is "three trillion, three hundred sixty-eight billion, nine hundred thirteen million, five hundred eighty thousand, thirty-two".