3644345304600 has 1152 divisors, whose sum is σ = 15578054369280. Its totient is φ = 684073728000.

The previous prime is 3644345304557. The next prime is 3644345304653. The reversal of 3644345304600 is 64035434463.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 366961635 + ... + 366971565.

It is an arithmetic number, because the mean of its divisors is an integer number (13522616640).

Almost surely, 2^{3644345304600} is an apocalyptic number.

3644345304600 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 3644345304600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7789027184640).

3644345304600 is an abundant number, since it is smaller than the sum of its proper divisors (11933709064680).

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

3644345304600 is a wasteful number, since it uses less digits than its factorization.

3644345304600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10041 (or 10019 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 42.

The spelling of 3644345304600 in words is "three trillion, six hundred forty-four billion, three hundred forty-five million, three hundred four thousand, six hundred".