3640593792 has 256 divisors, whose sum is σ = 11289196800. Its totient is φ = 1035837440.

The previous prime is 3640593773. The next prime is 3640593823. The reversal of 3640593792 is 2973950463.

It is a happy number.

3640593792 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8688559 + ... + 8688977.

It is an arithmetic number, because the mean of its divisors is an integer number (44098425).

Almost surely, 2^3640593792 is an apocalyptic number.

3640593792 is a gapful number since it is divisible by the number (32) 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 3640593792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5644598400).

3640593792 is an abundant number, since it is smaller than the sum of its proper divisors (7648603008).

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

3640593792 is a wasteful number, since it uses less digits than its factorization.

3640593792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 48.

The square root of 3640593792 is about 60337.3333186013. Note that the first 4 decimals coincide. The cubic root of 3640593792 is about 1538.3579777100.

The spelling of 3640593792 in words is "three billion, six hundred forty million, five hundred ninety-three thousand, seven hundred ninety-two".