3981600 has 216 divisors, whose sum is σ = 16248960. Its totient is φ = 898560.

The previous prime is 3981589. The next prime is 3981617. The reversal of 3981600 is 61893.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50361 + ... + 50439.

Almost surely, 2^3981600 is an apocalyptic number.

3981600 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 3981600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124480).

3981600 is an abundant number, since it is smaller than the sum of its proper divisors (12267360).

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

3981600 is a wasteful number, since it uses less digits than its factorization.

3981600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3981600 is about 1995.3946977979. The cubic root of 3981600 is about 158.4963295299.

The spelling of 3981600 in words is "three million, nine hundred eighty-one thousand, six hundred".