3644013744 has 400 divisors, whose sum is σ = 12598318656. Its totient is φ = 995328000.

The previous prime is 3644013739. The next prime is 3644013757. The reversal of 3644013744 is 4473104463.

3644013744 is a `hidden beast` number, since 3 + 644 + 0 + 1 + 3 + 7 + 4 + 4 = 666.

3644013744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3644013699 and 3644013708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36079294 + ... + 36079394.

Almost surely, 2^3644013744 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 3644013744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6299159328).

3644013744 is an abundant number, since it is smaller than the sum of its proper divisors (8954304912).

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

3644013744 is a wasteful number, since it uses less digits than its factorization.

3644013744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 3644013744 is about 60365.6669307977. Note that the first 3 decimals coincide. The cubic root of 3644013744 is about 1538.8395350405.

The spelling of 3644013744 in words is "three billion, six hundred forty-four million, thirteen thousand, seven hundred forty-four".