3983160 has 64 divisors (see below), whose sum is σ = 12585600. Its totient is φ = 1005696.

The previous prime is 3983153. The next prime is 3983197. The reversal of 3983160 is 613893.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a congruent number.

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, 1407 + ... + 3153.

It is an arithmetic number, because the mean of its divisors is an integer number (196650).

Almost surely, 2^3983160 is an apocalyptic number.

3983160 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 3983160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6292800).

3983160 is an abundant number, since it is smaller than the sum of its proper divisors (8602440).

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

3983160 is a wasteful number, since it uses less digits than its factorization.

3983160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 3983160 is about 1995.7855596231. The cubic root of 3983160 is about 158.5170265687.

The spelling of 3983160 in words is "three million, nine hundred eighty-three thousand, one hundred sixty".