3644433360 has 120 divisors (see below), whose sum is σ = 12258795744. Its totient is φ = 970295040.

The previous prime is 3644433347. The next prime is 3644433367. The reversal of 3644433360 is 633344463.

3644433360 is a `hidden beast` number, since 3 + 644 + 4 + 3 + 3 + 3 + 6 + 0 = 666.

3644433360 is digitally balanced in base 2 and base 4, because in such bases 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3644433367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 488055 + ... + 495465.

Almost surely, 2^3644433360 is an apocalyptic number.

3644433360 is a gapful number since it is divisible by the number (30) 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 3644433360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6129397872).

3644433360 is an abundant number, since it is smaller than the sum of its proper divisors (8614362384).

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

3644433360 is a wasteful number, since it uses less digits than its factorization.

3644433360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8113 (or 8104 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

The square root of 3644433360 is about 60369.1424487710. The cubic root of 3644433360 is about 1538.8985996646.

The spelling of 3644433360 in words is "three billion, six hundred forty-four million, four hundred thirty-three thousand, three hundred sixty".