3644985344 has 312 divisors, whose sum is σ = 10039938048. Its totient is φ = 1300561920.

The previous prime is 3644985269. The next prime is 3644985347. The reversal of 3644985344 is 4435894463.

Its product of digits (4976640) is a multiple of the sum of its prime divisors (160).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 3644985292 and 3644985301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3644985347) 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, 28700609 + ... + 28700735.

Almost surely, 2^3644985344 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 3644985344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019969024).

3644985344 is an abundant number, since it is smaller than the sum of its proper divisors (6394952704).

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

3644985344 is a wasteful number, since it uses less digits than its factorization.

3644985344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 160 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 50.

The square root of 3644985344 is about 60373.7140152898. The cubic root of 3644985344 is about 1538.9762893390.

The spelling of 3644985344 in words is "three billion, six hundred forty-four million, nine hundred eighty-five thousand, three hundred forty-four".