3644295424 has 189 divisors, whose sum is σ = 9328397491. Its totient is φ = 1419855360.

The previous prime is 3644295409. The next prime is 3644295443. The reversal of 3644295424 is 4245924463.

The square root of 3644295424 is 60368.

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

Its product of digits (829440) is a multiple of the sum of its prime divisors (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 331299579 + ... + 331299589.

Almost surely, 2^3644295424 is an apocalyptic number.

3644295424 is the 60368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3644295424

3644295424 is an abundant number, since it is smaller than the sum of its proper divisors (5684102067).

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

3644295424 is an frugal number, since it uses more digits than its factorization.

3644295424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 20 counting only the distinct ones).

The product of its digits is 829440, while the sum is 43.

The cubic root of 3644295424 is about 1538.8791844658.

The spelling of 3644295424 in words is "three billion, six hundred forty-four million, two hundred ninety-five thousand, four hundred twenty-four".