3644773344 has 144 divisors (see below), whose sum is σ = 11552420880. Its totient is φ = 1083248640.

The previous prime is 3644773337. The next prime is 3644773373. The reversal of 3644773344 is 4433774463.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3644773344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73434 + ... + 112614.

It is an arithmetic number, because the mean of its divisors is an integer number (80225145).

Almost surely, 2^3644773344 is an apocalyptic number.

3644773344 is a gapful number since it is divisible by the number (34) 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 3644773344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5776210440).

3644773344 is an abundant number, since it is smaller than the sum of its proper divisors (7907647536).

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

3644773344 is a wasteful number, since it uses less digits than its factorization.

3644773344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39233 (or 39222 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 45.

The square root of 3644773344 is about 60371.9582587810. The cubic root of 3644773344 is about 1538.9464520632.

The spelling of 3644773344 in words is "three billion, six hundred forty-four million, seven hundred seventy-three thousand, three hundred forty-four".