3992976 has 120 divisors (see below), whose sum is σ = 12638080. Its totient is φ = 1213056.

The previous prime is 3992959. The next prime is 3992987. The reversal of 3992976 is 6792993.

It is a congruent number.

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, 50505 + ... + 50583.

Almost surely, 2^3992976 is an apocalyptic number.

3992976 is a gapful number since it is divisible by the number (36) 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 3992976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6319040).

3992976 is an abundant number, since it is smaller than the sum of its proper divisors (8645104).

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

3992976 is a wasteful number, since it uses less digits than its factorization.

3992976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 97 counting only the distinct ones).

The product of its digits is 183708, while the sum is 45.

The square root of 3992976 is about 1998.2432284384. The cubic root of 3992976 is about 158.6471348820.

It can be divided in two parts, 399 and 2976, that added together give a cube (3375 = 15³).

The spelling of 3992976 in words is "three million, nine hundred ninety-two thousand, nine hundred seventy-six".