3992832 has 54 divisors (see below), whose sum is σ = 11518962. Its totient is φ = 1330176.

The previous prime is 3992797. The next prime is 3992837. The reversal of 3992832 is 2382993.

It can be written as a sum of positive squares in only one way, i.e., 3326976 + 665856 = 1824^2 + 816^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3992837) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1438 + ... + 3170.

Almost surely, 2^3992832 is an apocalyptic number.

3992832 is a gapful number since it is divisible by the number (32) 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 3992832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5759481).

3992832 is an abundant number, since it is smaller than the sum of its proper divisors (7526130).

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

3992832 is a wasteful number, since it uses less digits than its factorization.

3992832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1738 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 3992832 is about 1998.2071964639. The cubic root of 3992832 is about 158.6452277446.

The spelling of 3992832 in words is "three million, nine hundred ninety-two thousand, eight hundred thirty-two".