3913920 has 140 divisors (see below), whose sum is σ = 14014704. Its totient is φ = 1036800.

The previous prime is 3913907. The next prime is 3913963. The reversal of 3913920 is 293193.

3913920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25845 + ... + 25995.

Almost surely, 2^3913920 is an apocalyptic number.

3913920 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 3913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7007352).

3913920 is an abundant number, since it is smaller than the sum of its proper divisors (10100784).

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

3913920 is a wasteful number, since it uses less digits than its factorization.

3913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 161 counting only the distinct ones).

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

The square root of 3913920 is about 1978.3629596209. The cubic root of 3913920 is about 157.5931421857.

The spelling of 3913920 in words is "three million, nine hundred thirteen thousand, nine hundred twenty".