3644746400 has 144 divisors (see below), whose sum is σ = 9208098144. Its totient is φ = 1407943680.

The previous prime is 3644746397. The next prime is 3644746403. The reversal of 3644746400 is 46474463.

3644746400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3644746397) and next prime (3644746403).

It is not an unprimeable number, because it can be changed into a prime (3644746403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2840159 + ... + 2841441.

It is an arithmetic number, because the mean of its divisors is an integer number (63945126).

Almost surely, 2^3644746400 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 3644746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4604049072).

3644746400 is an abundant number, since it is smaller than the sum of its proper divisors (5563351744).

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

3644746400 is a wasteful number, since it uses less digits than its factorization.

3644746400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 38.

The square root of 3644746400 is about 60371.7351084098. The cubic root of 3644746400 is about 1538.9426598315.

The spelling of 3644746400 in words is "three billion, six hundred forty-four million, seven hundred forty-six thousand, four hundred".