3644364400 has 120 divisors (see below), whose sum is σ = 8950123584. Its totient is φ = 1425715200.

The previous prime is 3644364389. The next prime is 3644364401. The reversal of 3644364400 is 44634463.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3644364401) 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, 3999945 + ... + 4000855.

Almost surely, 2^3644364400 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 3644364400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4475061792).

3644364400 is an abundant number, since it is smaller than the sum of its proper divisors (5305759184).

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

3644364400 is a wasteful number, since it uses less digits than its factorization.

3644364400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

The square root of 3644364400 is about 60368.5712933477. The cubic root of 3644364400 is about 1538.8888932525. Note that the first 4 decimals are identical.

Adding to 3644364400 its reverse (44634463), we get a palindrome (3688998863).

It can be divided in two parts, 3644 and 364400, that multiplied together give a square (1327873600 = 36440²).

The spelling of 3644364400 in words is "three billion, six hundred forty-four million, three hundred sixty-four thousand, four hundred".