3628032 has 44 divisors (see below), whose sum is σ = 9678216. Its totient is φ = 1208320.

The previous prime is 3628007. The next prime is 3628033. The reversal of 3628032 is 2308263.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3627993 and 3628011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3628033) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2482 + ... + 3662.

Almost surely, 2^3628032 is an apocalyptic number.

3628032 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 3628032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4839108).

3628032 is an abundant number, since it is smaller than the sum of its proper divisors (6050184).

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

3628032 is a wasteful number, since it uses less digits than its factorization.

3628032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3628032 is about 1904.7393522474. The cubic root of 3628032 is about 153.6586581518.

The spelling of 3628032 in words is "three million, six hundred twenty-eight thousand, thirty-two".