3644289792 has 360 divisors, whose sum is σ = 12776757840. Its totient is φ = 1018552320.

The previous prime is 3644289787. The next prime is 3644289793. The reversal of 3644289792 is 2979824463.

3644289792 is a `hidden beast` number, since 36 + 442 + 89 + 7 + 92 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3644289793) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2964634 + ... + 2965862.

It is an arithmetic number, because the mean of its divisors is an integer number (35490994).

Almost surely, 2^3644289792 is an apocalyptic number.

3644289792 is a gapful number since it is divisible by the number (32) 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 3644289792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6388378920).

3644289792 is an abundant number, since it is smaller than the sum of its proper divisors (9132468048).

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

3644289792 is a wasteful number, since it uses less digits than its factorization.

3644289792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1258 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 3644289792 is about 60367.9533527517. The cubic root of 3644289792 is about 1538.8783917225.

The spelling of 3644289792 in words is "three billion, six hundred forty-four million, two hundred eighty-nine thousand, seven hundred ninety-two".