3981960 has 80 divisors (see below), whose sum is σ = 13394700. Its totient is φ = 1060992.

The previous prime is 3981959. The next prime is 3981973. The reversal of 3981960 is 691893.

It can be written as a sum of positive squares in 2 ways, for example, as 3709476 + 272484 = 1926^2 + 522^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2626 + ... + 3854.

Almost surely, 2^3981960 is an apocalyptic number.

3981960 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 3981960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6697350).

3981960 is an abundant number, since it is smaller than the sum of its proper divisors (9412740).

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

3981960 is a wasteful number, since it uses less digits than its factorization.

3981960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 3981960 is about 1995.4849034758. The cubic root of 3981960 is about 158.5011062493.

The spelling of 3981960 in words is "three million, nine hundred eighty-one thousand, nine hundred sixty".