3987960 has 64 divisors (see below), whose sum is σ = 12096000. Its totient is φ = 1051776.

The previous prime is 3987943. The next prime is 3988003. The reversal of 3987960 is 697893.

It is a happy number.

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, 19941 + ... + 20139.

It is an arithmetic number, because the mean of its divisors is an integer number (189000).

Almost surely, 2^3987960 is an apocalyptic number.

3987960 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 3987960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048000).

3987960 is an abundant number, since it is smaller than the sum of its proper divisors (8108040).

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

3987960 is a wasteful number, since it uses less digits than its factorization.

3987960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 3987960 is about 1996.9877315597. The cubic root of 3987960 is about 158.5806758900.

The spelling of 3987960 in words is "three million, nine hundred eighty-seven thousand, nine hundred sixty".