3990960 has 120 divisors (see below), whose sum is σ = 14043744. Its totient is φ = 1013760.

The previous prime is 3990929. The next prime is 3990967. The reversal of 3990960 is 690993.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3990967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16440 + ... + 16680.

Almost surely, 2^3990960 is an apocalyptic number.

3990960 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 3990960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7021872).

3990960 is an abundant number, since it is smaller than the sum of its proper divisors (10052784).

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

3990960 is a wasteful number, since it uses less digits than its factorization.

3990960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 3990960 is about 1997.7387216551. The cubic root of 3990960 is about 158.6204307842.

It can be divided in two parts, 3990 and 960, that added together give a triangular number (4950 = T₉₉).

The spelling of 3990960 in words is "three million, nine hundred ninety thousand, nine hundred sixty".