3644431357350 has 576 divisors, whose sum is σ = 11083934011392. Its totient is φ = 789118848000.

The previous prime is 3644431357327. The next prime is 3644431357361. The reversal of 3644431357350 is 537531344463.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3644431357350.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3655397052 + ... + 3655398048.

It is an arithmetic number, because the mean of its divisors is an integer number (19242940992).

Almost surely, 2^{3644431357350} is an apocalyptic number.

3644431357350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3644431357350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5541967005696).

3644431357350 is an abundant number, since it is smaller than the sum of its proper divisors (7439502654042).

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

3644431357350 is a wasteful number, since it uses less digits than its factorization.

3644431357350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 48.

The spelling of 3644431357350 in words is "three trillion, six hundred forty-four billion, four hundred thirty-one million, three hundred fifty-seven thousand, three hundred fifty".