3644381536800 has 144 divisors (see below), whose sum is σ = 11871150322752. Its totient is φ = 971123276800.

The previous prime is 3644381536787. The next prime is 3644381536843. The reversal of 3644381536800 is 86351834463.

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, 2725390 + ... + 3836210.

It is an arithmetic number, because the mean of its divisors is an integer number (82438543908).

Almost surely, 2^{3644381536800} is an apocalyptic number.

3644381536800 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 3644381536800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5935575161376).

3644381536800 is an abundant number, since it is smaller than the sum of its proper divisors (8226768785952).

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

3644381536800 is a wasteful number, since it uses less digits than its factorization.

3644381536800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112211 (or 1112198 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 3644381536800 in words is "three trillion, six hundred forty-four billion, three hundred eighty-one million, five hundred thirty-six thousand, eight hundred".