3331320 has 128 divisors (see below), whose sum is σ = 11197440. Its totient is φ = 788480.

The previous prime is 3331319. The next prime is 3331331. The reversal of 3331320 is 231333.

It is a super-2 number, since 2×3331320² = 22195385884800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3331320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46885 + ... + 46955.

It is an arithmetic number, because the mean of its divisors is an integer number (87480).

Almost surely, 2^3331320 is an apocalyptic number.

3331320 is a gapful number since it is divisible by the number (30) 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 3331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5598720).

3331320 is an abundant number, since it is smaller than the sum of its proper divisors (7866120).

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

3331320 is a wasteful number, since it uses less digits than its factorization.

3331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 3331320 is about 1825.1904010267. The cubic root of 3331320 is about 149.3500769562.

Adding to 3331320 its reverse (231333), we get a palindrome (3562653).

It can be divided in two parts, 33313 and 20, that added together give a palindrome (33333).

The spelling of 3331320 in words is "three million, three hundred thirty-one thousand, three hundred twenty".