3987360 has 192 divisors, whose sum is σ = 15240960. Its totient is φ = 967680.

The previous prime is 3987353. The next prime is 3987407. The reversal of 3987360 is 637893.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 56125 + ... + 56195.

It is an arithmetic number, because the mean of its divisors is an integer number (79380).

Almost surely, 2^3987360 is an apocalyptic number.

3987360 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 3987360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620480).

3987360 is an abundant number, since it is smaller than the sum of its proper divisors (11253600).

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

3987360 is a wasteful number, since it uses less digits than its factorization.

3987360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3987360 is about 1996.8374996479. The cubic root of 3987360 is about 158.5727225189.

The spelling of 3987360 in words is "three million, nine hundred eighty-seven thousand, three hundred sixty".