3331332992 has 64 divisors (see below), whose sum is σ = 7213113600. Its totient is φ = 1523349504.

The previous prime is 3331332973. The next prime is 3331332997. The reversal of 3331332992 is 2992331333.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3331332992² = 22195559007175344128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3331332997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172193 + ... + 190559.

It is an arithmetic number, because the mean of its divisors is an integer number (112704900).

Almost surely, 2^3331332992 is an apocalyptic number.

3331332992 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 3331332992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3606556800).

3331332992 is an abundant number, since it is smaller than the sum of its proper divisors (3881780608).

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

3331332992 is a wasteful number, since it uses less digits than its factorization.

3331332992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18503 (or 18491 counting only the distinct ones).

The product of its digits is 78732, while the sum is 38.

The square root of 3331332992 is about 57717.7008551103. The cubic root of 3331332992 is about 1493.5027110885.

The spelling of 3331332992 in words is "three billion, three hundred thirty-one million, three hundred thirty-two thousand, nine hundred ninety-two".