3981672 has 48 divisors (see below), whose sum is σ = 11421540. Its totient is φ = 1248768.

The previous prime is 3981647. The next prime is 3981683. The reversal of 3981672 is 2761893.

It can be written as a sum of positive squares in 2 ways, for example, as 3048516 + 933156 = 1746^2 + 966^2 .

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

It is an Ulam number.

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, 403 + ... + 2850.

Almost surely, 2^3981672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3981672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5710770).

3981672 is an abundant number, since it is smaller than the sum of its proper divisors (7439868).

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

3981672 is a wasteful number, since it uses less digits than its factorization.

3981672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3282 (or 3275 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 3981672 is about 1995.4127392597. The cubic root of 3981672 is about 158.4972848968.

The spelling of 3981672 in words is "three million, nine hundred eighty-one thousand, six hundred seventy-two".