3319920 has 160 divisors (see below), whose sum is σ = 12052800. Its totient is φ = 838656.

The previous prime is 3319919. The next prime is 3319931. The reversal of 3319920 is 299133.

It is a super-2 number, since 2×3319920² = 22043737612800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 62614 + ... + 62666.

It is an arithmetic number, because the mean of its divisors is an integer number (75330).

Almost surely, 2^3319920 is an apocalyptic number.

3319920 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 3319920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026400).

3319920 is an abundant number, since it is smaller than the sum of its proper divisors (8732880).

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

3319920 is a wasteful number, since it uses less digits than its factorization.

3319920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 3319920 is about 1822.0647628446. The cubic root of 3319920 is about 149.1795202695.

The spelling of 3319920 in words is "three million, three hundred nineteen thousand, nine hundred twenty".