3904120 has 64 divisors (see below), whose sum is σ = 10108800. Its totient is φ = 1342080.

The previous prime is 3904111. The next prime is 3904123. The reversal of 3904120 is 214093.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3904123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8127 + ... + 8593.

It is an arithmetic number, because the mean of its divisors is an integer number (157950).

Almost surely, 2^3904120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3904120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5054400).

3904120 is an abundant number, since it is smaller than the sum of its proper divisors (6204680).

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

3904120 is a wasteful number, since it uses less digits than its factorization.

3904120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 3904120 is about 1975.8846120156. The cubic root of 3904120 is about 157.4615006261.

The spelling of 3904120 in words is "three million, nine hundred four thousand, one hundred twenty".