3388807134720 has 2400 divisors, whose sum is σ = 15618119001408. Its totient is φ = 696506646528.

The previous prime is 3388807134689. The next prime is 3388807134733. The reversal of 3388807134720 is 274317088833.

It is a happy number.

3388807134720 is a `hidden beast` number, since 3 + 3 + 88 + 80 + 7 + 13 + 472 + 0 = 666.

It is a super-2 number, since 2×3388807134720² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3972809814 + ... + 3972810666.

Almost surely, 2^{3388807134720} is an apocalyptic number.

3388807134720 is a gapful number since it is divisible by the number (30) 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 3388807134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7809059500704).

3388807134720 is an abundant number, since it is smaller than the sum of its proper divisors (12229311866688).

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

3388807134720 is a wasteful number, since it uses less digits than its factorization.

3388807134720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 3388807134720 in words is "three trillion, three hundred eighty-eight billion, eight hundred seven million, one hundred thirty-four thousand, seven hundred twenty".