3644832 has 24 divisors (see below), whose sum is σ = 9567936. Its totient is φ = 1214912.

The previous prime is 3644831. The next prime is 3644873. The reversal of 3644832 is 2384463.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3644832.

It is not an unprimeable number, because it can be changed into a prime (3644831) 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, 18888 + ... + 19079.

It is an arithmetic number, because the mean of its divisors is an integer number (398664).

Almost surely, 2^3644832 is an apocalyptic number.

3644832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3644832 is an abundant number, since it is smaller than the sum of its proper divisors (5923104).

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

3644832 is a wasteful number, since it uses less digits than its factorization.

3644832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37980 (or 37972 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 3644832 is about 1909.1443109414. The cubic root of 3644832 is about 153.8954707534.

The spelling of 3644832 in words is "three million, six hundred forty-four thousand, eight hundred thirty-two".