3332388138912 has 576 divisors, whose sum is σ = 11387228396544. Its totient is φ = 904713338880.

The previous prime is 3332388138881. The next prime is 3332388139013. The reversal of 3332388138912 is 2198318832333.

It is a super-2 number, since 2×3332388138912² (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 487116612 + ... + 487123452.

It is an arithmetic number, because the mean of its divisors is an integer number (19769493744).

Almost surely, 2^{3332388138912} is an apocalyptic number.

3332388138912 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 3332388138912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5693614198272).

3332388138912 is an abundant number, since it is smaller than the sum of its proper divisors (8054840257632).

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

3332388138912 is a wasteful number, since it uses less digits than its factorization.

3332388138912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7061 (or 7050 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 3332388138912 in words is "three trillion, three hundred thirty-two billion, three hundred eighty-eight million, one hundred thirty-eight thousand, nine hundred twelve".