3990405120 has 240 divisors, whose sum is σ = 13762140000. Its totient is φ = 981467136.

The previous prime is 3990405077. The next prime is 3990405143. The reversal of 3990405120 is 215040993.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3194256 + ... + 3195504.

It is an arithmetic number, because the mean of its divisors is an integer number (57342250).

Almost surely, 2^3990405120 is an apocalyptic number.

3990405120 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 3990405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6881070000).

3990405120 is an abundant number, since it is smaller than the sum of its proper divisors (9771734880).

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

3990405120 is a wasteful number, since it uses less digits than its factorization.

3990405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 3990405120 is about 63169.6534738002. The cubic root of 3990405120 is about 1586.1307922099.

The spelling of 3990405120 in words is "three billion, nine hundred ninety million, four hundred five thousand, one hundred twenty".