3331872 has 72 divisors (see below), whose sum is σ = 9906624. Its totient is φ = 1060224.

The previous prime is 3331837. The next prime is 3331891. The reversal of 3331872 is 2781333.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3331872² = 22202742048768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6373 + ... + 6875.

It is an arithmetic number, because the mean of its divisors is an integer number (137592).

Almost surely, 2^3331872 is an apocalyptic number.

3331872 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 3331872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953312).

3331872 is an abundant number, since it is smaller than the sum of its proper divisors (6574752).

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

3331872 is a wasteful number, since it uses less digits than its factorization.

3331872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 531 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 3331872 is about 1825.3416118634. The cubic root of 3331872 is about 149.3583256073.

The spelling of 3331872 in words is "three million, three hundred thirty-one thousand, eight hundred seventy-two".