3644844840 has 768 divisors, whose sum is σ = 15615774720. Its totient is φ = 716636160.

The previous prime is 3644844839. The next prime is 3644844881. The reversal of 3644844840 is 484484463.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37575672 + ... + 37575768.

It is an arithmetic number, because the mean of its divisors is an integer number (20333040).

Almost surely, 2^3644844840 is an apocalyptic number.

3644844840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3644844840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7807887360).

3644844840 is an abundant number, since it is smaller than the sum of its proper divisors (11970929880).

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

3644844840 is a wasteful number, since it uses less digits than its factorization.

3644844840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The square root of 3644844840 is about 60372.5503850881. The cubic root of 3644844840 is about 1538.9565146730.

The spelling of 3644844840 in words is "three billion, six hundred forty-four million, eight hundred forty-four thousand, eight hundred forty".