3644778384 has 315 divisors, whose sum is σ = 11737714977. Its totient is φ = 1095389568.

The previous prime is 3644778373. The next prime is 3644778391. The reversal of 3644778384 is 4838774463.

The square root of 3644778384 is 60372.

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

It can be written as a sum of positive squares in only one way, i.e., 539168400 + 3105609984 = 23220^2 + 55728^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3644778384.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 84762267 + ... + 84762309.

Almost surely, 2^3644778384 is an apocalyptic number.

3644778384 is the 60372-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3644778384

3644778384 is an abundant number, since it is smaller than the sum of its proper divisors (8092936593).

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

3644778384 is an equidigital number, since it uses as much as digits as its factorization.

3644778384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 61 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 54.

The cubic root of 3644778384 is about 1538.9471614156.

The spelling of 3644778384 in words is "three billion, six hundred forty-four million, seven hundred seventy-eight thousand, three hundred eighty-four".