3900120 has 64 divisors (see below), whose sum is σ = 13374720. Its totient is φ = 891264.

The previous prime is 3900097. The next prime is 3900121. The reversal of 3900120 is 210093.

3900120 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3900120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3900121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1482 + ... + 3161.

It is an arithmetic number, because the mean of its divisors is an integer number (208980).

Almost surely, 2^3900120 is an apocalyptic number.

3900120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3900120 is an abundant number, since it is smaller than the sum of its proper divisors (9474600).

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

3900120 is a wasteful number, since it uses less digits than its factorization.

3900120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664 (or 4660 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 3900120 is about 1974.8721477605. The cubic root of 3900120 is about 157.4077060680.

The spelling of 3900120 in words is "three million, nine hundred thousand, one hundred twenty".