3891960 has 96 divisors (see below), whose sum is σ = 13338000. Its totient is φ = 981504.

The previous prime is 3891917. The next prime is 3891971. The reversal of 3891960 is 691983.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6556 + ... + 7124.

Almost surely, 2^3891960 is an apocalyptic number.

3891960 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 3891960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6669000).

3891960 is an abundant number, since it is smaller than the sum of its proper divisors (9446040).

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

3891960 is a wasteful number, since it uses less digits than its factorization.

3891960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 598 counting only the distinct ones).

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

The square root of 3891960 is about 1972.8051094824. The cubic root of 3891960 is about 157.2978510109.

It can be divided in two parts, 3891 and 960, that added together give a triangular number (4851 = T₉₈).

The spelling of 3891960 in words is "three million, eight hundred ninety-one thousand, nine hundred sixty".