3644612000 has 96 divisors (see below), whose sum is σ = 9003116304. Its totient is φ = 1449984000.

The previous prime is 3644611981. The next prime is 3644612003. The reversal of 3644612000 is 2164463.

3644612000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 15272464 + 3629339536 = 3908^2 + 60244^2 .

It is not an unprimeable number, because it can be changed into a prime (3644612003) 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, 769640 + ... + 774360.

Almost surely, 2^3644612000 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 3644612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4501558152).

3644612000 is an abundant number, since it is smaller than the sum of its proper divisors (5358504304).

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

3644612000 is a wasteful number, since it uses less digits than its factorization.

3644612000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4939 (or 4921 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 3644612000 is about 60370.6219944768. The cubic root of 3644612000 is about 1538.9237434321.

Adding to 3644612000 its reverse (2164463), we get a palindrome (3646776463).

The spelling of 3644612000 in words is "three billion, six hundred forty-four million, six hundred twelve thousand".