3332116031472 has 480 divisors, whose sum is σ = 10057812830208. Its totient is φ = 1027342761984.

The previous prime is 3332116031467. The next prime is 3332116031507. The reversal of 3332116031472 is 2741306112333.

3332116031472 is a `hidden beast` number, since 3 + 3 + 3 + 2 + 1 + 1 + 603 + 1 + 47 + 2 = 666.

It is a super-2 number, since 2×3332116031472² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 5918500663 + ... + 5918501225.

Almost surely, 2^{3332116031472} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3332116031472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5028906415104).

3332116031472 is an abundant number, since it is smaller than the sum of its proper divisors (6725696798736).

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

3332116031472 is a wasteful number, since it uses less digits than its factorization.

3332116031472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 3332116031472 in words is "three trillion, three hundred thirty-two billion, one hundred sixteen million, thirty-one thousand, four hundred seventy-two".