3987600 has 60 divisors (see below), whose sum is σ = 12777456. Its totient is φ = 1063040.

The previous prime is 3987593. The next prime is 3987629. The reversal of 3987600 is 67893.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 462 + ... + 2861.

Almost surely, 2^3987600 is an apocalyptic number.

3987600 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 3987600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6388728).

3987600 is an abundant number, since it is smaller than the sum of its proper divisors (8789856).

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

3987600 is a wasteful number, since it uses less digits than its factorization.

3987600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344 (or 3333 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 3987600 is about 1996.8975937689. The cubic root of 3987600 is about 158.5759039631.

The spelling of 3987600 in words is "three million, nine hundred eighty-seven thousand, six hundred".