3109920 has 192 divisors, whose sum is σ = 11612160. Its totient is φ = 691200.

The previous prime is 3109913. The next prime is 3109921. The reversal of 3109920 is 299013.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3109921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100305 + ... + 100335.

It is an arithmetic number, because the mean of its divisors is an integer number (60480).

Almost surely, 2^3109920 is an apocalyptic number.

3109920 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 3109920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806080).

3109920 is an abundant number, since it is smaller than the sum of its proper divisors (8502240).

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

3109920 is a wasteful number, since it uses less digits than its factorization.

3109920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 3109920 is about 1763.4965267899. The cubic root of 3109920 is about 145.9653386161.

The spelling of 3109920 in words is "three million, one hundred nine thousand, nine hundred twenty".