3331988332992 has 336 divisors, whose sum is σ = 10820853493632. Its totient is φ = 1008179758080.

The previous prime is 3331988332901. The next prime is 3331988333029. The reversal of 3331988332992 is 2992338891333.

3331988332992 is a `hidden beast` number, since 3 + 33 + 198 + 8 + 3 + 329 + 92 = 666.

It is a super-2 number, since 2×3331988332992² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116827918 + ... + 116856434.

It is an arithmetic number, because the mean of its divisors is an integer number (32204921112).

Almost surely, 2^{3331988332992} is an apocalyptic number.

3331988332992 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 3331988332992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5410426746816).

3331988332992 is an abundant number, since it is smaller than the sum of its proper divisors (7488865160640).

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

3331988332992 is a wasteful number, since it uses less digits than its factorization.

3331988332992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29238 (or 29216 counting only the distinct ones).

The product of its digits is 45349632, while the sum is 63.

The spelling of 3331988332992 in words is "three trillion, three hundred thirty-one billion, nine hundred eighty-eight million, three hundred thirty-two thousand, nine hundred ninety-two".