3644838432 has 48 divisors (see below), whose sum is σ = 10630781280. Its totient is φ = 1214945856.

The previous prime is 3644838413. The next prime is 3644838433. The reversal of 3644838432 is 2348384463.

3644838432 is a `hidden beast` number, since 3 + 64 + 483 + 84 + 32 = 666.

3644838432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (3644838433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2108418 + ... + 2110145.

It is an arithmetic number, because the mean of its divisors is an integer number (221474610).

Almost surely, 2^3644838432 is an apocalyptic number.

3644838432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3644838432 is an abundant number, since it is smaller than the sum of its proper divisors (6985942848).

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

3644838432 is a wasteful number, since it uses less digits than its factorization.

3644838432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4218582 (or 4218568 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The square root of 3644838432 is about 60372.4973145885. The cubic root of 3644838432 is about 1538.9556127929.

The spelling of 3644838432 in words is "three billion, six hundred forty-four million, eight hundred thirty-eight thousand, four hundred thirty-two".