3644745984 has 540 divisors, whose sum is σ = 12925152240. Its totient is φ = 1010257920.

The previous prime is 3644745983. The next prime is 3644746019. The reversal of 3644745984 is 4895474463.

3644745984 is a `hidden beast` number, since 3 + 6 + 4 + 47 + 4 + 598 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (11612160) is a multiple of the sum of its prime divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 3644745984.

It is not an unprimeable number, because it can be changed into a prime (3644745983) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 125680882 + ... + 125680910.

Almost surely, 2^3644745984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3644745984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6462576120).

3644745984 is an abundant number, since it is smaller than the sum of its proper divisors (9280406256).

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

3644745984 is a wasteful number, since it uses less digits than its factorization.

3644745984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 64 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The square root of 3644745984 is about 60371.7316630888. The cubic root of 3644745984 is about 1538.9426012814.

The spelling of 3644745984 in words is "three billion, six hundred forty-four million, seven hundred forty-five thousand, nine hundred eighty-four".