3728832 has 28 divisors (see below), whose sum is σ = 9866376. Its totient is φ = 1242880.

The previous prime is 3728821. The next prime is 3728861. The reversal of 3728832 is 2388273.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3728793 and 3728802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9519 + ... + 9902.

Almost surely, 2^3728832 is an apocalyptic number.

3728832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3728832 is an abundant number, since it is smaller than the sum of its proper divisors (6137544).

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

3728832 is a wasteful number, since it uses less digits than its factorization.

3728832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19436 (or 19426 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 3728832 is about 1931.0183841693. The cubic root of 3728832 is about 155.0687450869.

It can be divided in two parts, 3728 and 832, that added together give a triangular number (4560 = T₉₅).

The spelling of 3728832 in words is "three million, seven hundred twenty-eight thousand, eight hundred thirty-two".