3389865685920 has 192 divisors, whose sum is σ = 13559462864640. Its totient is φ = 774826435584.

The previous prime is 3389865685897. The next prime is 3389865685937. The reversal of 3389865685920 is 295865689833.

3389865685920 is a `hidden beast` number, since 3 + 3 + 8 + 9 + 8 + 6 + 568 + 59 + 2 + 0 = 666.

3389865685920 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 2×3389865685920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56019127 + ... + 56079606.

It is an arithmetic number, because the mean of its divisors is an integer number (70622202420).

Almost surely, 2^{3389865685920} is an apocalyptic number.

3389865685920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3389865685920 is an abundant number, since it is smaller than the sum of its proper divisors (10169597178720).

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

3389865685920 is a wasteful number, since it uses less digits than its factorization.

3389865685920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112098764 (or 112098750 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 72.

The spelling of 3389865685920 in words is "three trillion, three hundred eighty-nine billion, eight hundred sixty-five million, six hundred eighty-five thousand, nine hundred twenty".