3664988425728 has 1440 divisors, whose sum is σ = 13489041646080. Its totient is φ = 971937792000.

The previous prime is 3664988425691. The next prime is 3664988425751. The reversal of 3664988425728 is 8275248894663.

3664988425728 is a `hidden beast` number, since 3 + 6 + 6 + 4 + 9 + 8 + 8 + 42 + 572 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 143 ways as a sum of consecutive naturals, for example, 24271446453 + ... + 24271446603.

It is an arithmetic number, because the mean of its divisors is an integer number (9367390032).

Almost surely, 2^{3664988425728} 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 3664988425728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6744520823040).

3664988425728 is an abundant number, since it is smaller than the sum of its proper divisors (9824053220352).

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

3664988425728 is an equidigital number, since it uses as much as digits as its factorization.

3664988425728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 223 counting only the distinct ones).

The product of its digits is 1114767360, while the sum is 72.

The spelling of 3664988425728 in words is "three trillion, six hundred sixty-four billion, nine hundred eighty-eight million, four hundred twenty-five thousand, seven hundred twenty-eight".