3645800195328 has 288 divisors, whose sum is σ = 10913430433920. Its totient is φ = 1200418652160.

The previous prime is 3645800195311. The next prime is 3645800195399. The reversal of 3645800195328 is 8235910085463.

3645800195328 is a `hidden beast` number, since 3 + 6 + 4 + 580 + 0 + 1 + 9 + 53 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366738838 + ... + 366748778.

Almost surely, 2^{3645800195328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3645800195328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5456715216960).

3645800195328 is an abundant number, since it is smaller than the sum of its proper divisors (7267630238592).

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

3645800195328 is an equidigital number, since it uses as much as digits as its factorization.

3645800195328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10610 (or 10590 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 3645800195328 in words is "three trillion, six hundred forty-five billion, eight hundred million, one hundred ninety-five thousand, three hundred twenty-eight".