3728032 has 96 divisors (see below), whose sum is σ = 9797760. Its totient is φ = 1351680.

The previous prime is 3728017. The next prime is 3728041. The reversal of 3728032 is 2308273.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3727988 and 3728006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41844 + ... + 41932.

It is an arithmetic number, because the mean of its divisors is an integer number (102060).

Almost surely, 2^3728032 is an apocalyptic number.

3728032 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 3728032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898880).

3728032 is an abundant number, since it is smaller than the sum of its proper divisors (6069728).

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

3728032 is a wasteful number, since it uses less digits than its factorization.

3728032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 3728032 is about 1930.8112284737. The cubic root of 3728032 is about 155.0576545838.

The spelling of 3728032 in words is "three million, seven hundred twenty-eight thousand, thirty-two".