3331272 has 64 divisors (see below), whose sum is σ = 9676800. Its totient is φ = 936000.

The previous prime is 3331267. The next prime is 3331301. The reversal of 3331272 is 2721333.

It is a super-2 number, since 2×3331272² = 22194746275968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13147 + ... + 13397.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

Almost surely, 2^3331272 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 3331272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838400).

3331272 is an abundant number, since it is smaller than the sum of its proper divisors (6345528).

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

3331272 is a wasteful number, since it uses less digits than its factorization.

3331272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 342 counting only the distinct ones).

The product of its digits is 756, while the sum is 21.

The square root of 3331272 is about 1825.1772516663. The cubic root of 3331272 is about 149.3493596391.

The spelling of 3331272 in words is "three million, three hundred thirty-one thousand, two hundred seventy-two".