3388516198272 has 112 divisors (see below), whose sum is σ = 10121209685880. Its totient is φ = 1129505368320.

The previous prime is 3388516198261. The next prime is 3388516198273. The reversal of 3388516198272 is 2728916158833.

3388516198272 is a `hidden beast` number, since 3 + 3 + 8 + 8 + 5 + 1 + 619 + 8 + 2 + 7 + 2 = 666.

3388516198272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3388516198272² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3388516198273) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 18063604 + ... + 18250227.

Almost surely, 2^{3388516198272} is an apocalyptic number.

3388516198272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3388516198272 is an abundant number, since it is smaller than the sum of its proper divisors (6732693487608).

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

3388516198272 is an frugal number, since it uses more digits than its factorization.

3388516198272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36313863 (or 36313836 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 3388516198272 in words is "three trillion, three hundred eighty-eight billion, five hundred sixteen million, one hundred ninety-eight thousand, two hundred seventy-two".