3640568000 has 112 divisors (see below), whose sum is σ = 9102266784. Its totient is φ = 1442278400.

The previous prime is 3640567963. The next prime is 3640568011. The reversal of 3640568000 is 8650463.

3640568000 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 (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 853874 + ... + 858126.

Almost surely, 2^3640568000 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 3640568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4551133392).

3640568000 is an abundant number, since it is smaller than the sum of its proper divisors (5461698784).

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

3640568000 is a wasteful number, since it uses less digits than its factorization.

3640568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4387 (or 4367 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 3640568000 is about 60337.1195865364. The cubic root of 3640568000 is about 1538.3543448391.

The spelling of 3640568000 in words is "three billion, six hundred forty million, five hundred sixty-eight thousand".