3640336000 has 128 divisors (see below), whose sum is σ = 10344072960. Its totient is φ = 1248076800.

The previous prime is 3640335997. The next prime is 3640336009. The reversal of 3640336000 is 6330463.

3640336000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3640336009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95749 + ... + 128251.

It is an arithmetic number, because the mean of its divisors is an integer number (80813070).

Almost surely, 2^3640336000 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 3640336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5172036480).

3640336000 is an abundant number, since it is smaller than the sum of its proper divisors (6703736960).

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

3640336000 is an equidigital number, since it uses as much as digits as its factorization.

3640336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32539 (or 32517 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

The square root of 3640336000 is about 60335.1970246224. The cubic root of 3640336000 is about 1538.3216662580.

Adding to 3640336000 its reverse (6330463), we get a palindrome (3646666463).

The spelling of 3640336000 in words is "three billion, six hundred forty million, three hundred thirty-six thousand".