3644319936 has 56 divisors (see below), whose sum is σ = 9675321264. Its totient is φ = 1210608640.

The previous prime is 3644319911. The next prime is 3644319977. The reversal of 3644319936 is 6399134463.

3644319936 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 (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23866 + ... + 88646.

It is an arithmetic number, because the mean of its divisors is an integer number (172773594).

Almost surely, 2^3644319936 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 3644319936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4837660632).

3644319936 is an abundant number, since it is smaller than the sum of its proper divisors (6031001328).

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

3644319936 is a wasteful number, since it uses less digits than its factorization.

3644319936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65089 (or 65079 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 48.

The square root of 3644319936 is about 60368.2030211269. The cubic root of 3644319936 is about 1538.8826346912.

The spelling of 3644319936 in words is "three billion, six hundred forty-four million, three hundred nineteen thousand, nine hundred thirty-six".