3909920 has 48 divisors (see below), whose sum is σ = 10559808. Its totient is φ = 1340160.

The previous prime is 3909911. The next prime is 3909923. The reversal of 3909920 is 299093.

3909920 = 36² + 37² + ... + 227².

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3909923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 626 + ... + 2865.

It is an arithmetic number, because the mean of its divisors is an integer number (219996).

Almost surely, 2^3909920 is an apocalyptic number.

It is an amenable number.

3909920 is an abundant number, since it is smaller than the sum of its proper divisors (6649888).

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

3909920 is a wasteful number, since it uses less digits than its factorization.

3909920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3513 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 32.

The square root of 3909920 is about 1977.3517643555. The cubic root of 3909920 is about 157.5394375080.

The spelling of 3909920 in words is "three million, nine hundred nine thousand, nine hundred twenty".