3313920 has 72 divisors (see below), whose sum is σ = 10596096. Its totient is φ = 882688.

The previous prime is 3313913. The next prime is 3313939. The reversal of 3313920 is 293133.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3409 + ... + 4271.

It is an arithmetic number, because the mean of its divisors is an integer number (147168).

Almost surely, 2^3313920 is an apocalyptic number.

3313920 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 3313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298048).

3313920 is an abundant number, since it is smaller than the sum of its proper divisors (7282176).

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

3313920 is an equidigital number, since it uses as much as digits as its factorization.

3313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 3313920 is about 1820.4175345233. The cubic root of 3313920 is about 149.0895967292.

The spelling of 3313920 in words is "three million, three hundred thirteen thousand, nine hundred twenty".