3990672 has 120 divisors (see below), whose sum is σ = 13231296. Its totient is φ = 1099008.

The previous prime is 3990641. The next prime is 3990689. The reversal of 3990672 is 2760993.

It is a super-3 number, since 3×3990672³ (a number of 21 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 37243 + ... + 37349.

Almost surely, 2^3990672 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 3990672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6615648).

3990672 is an abundant number, since it is smaller than the sum of its proper divisors (9240624).

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

3990672 is a wasteful number, since it uses less digits than its factorization.

3990672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 3990672 is about 1997.6666388564. Note that the first 4 decimals coincide. The cubic root of 3990672 is about 158.6166151790.

The spelling of 3990672 in words is "three million, nine hundred ninety thousand, six hundred seventy-two".