3644536900 has 27 divisors (see below), whose sum is σ = 7909955319. Its totient is φ = 1457573280.

The previous prime is 3644536877. The next prime is 3644536901. The reversal of 3644536900 is 96354463.

The square root of 3644536900 is 60370.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 742344516 + 2902192384 = 27246^2 + 53872^2 .

It is a super-2 number, since 2×3644536900² = 26565298430923220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3644536901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 600682 + ... + 606718.

Almost surely, 2^3644536900 is an apocalyptic number.

3644536900 is the 60370-th square number.

It is an amenable number.

3644536900 is an abundant number, since it is smaller than the sum of its proper divisors (4265418419).

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

3644536900 is an frugal number, since it uses more digits than its factorization.

3644536900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12088 (or 6044 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 40.

The cubic root of 3644536900 is about 1538.9131731284.

The spelling of 3644536900 in words is "three billion, six hundred forty-four million, five hundred thirty-six thousand, nine hundred".