3645374988528 has 400 divisors, whose sum is σ = 13024937350656. Its totient is φ = 958502730240.

The previous prime is 3645374988457. The next prime is 3645374988539. The reversal of 3645374988528 is 8258894735463.

3645374988528 is a `hidden beast` number, since 3 + 6 + 4 + 5 + 3 + 7 + 4 + 98 + 8 + 528 = 666.

It is a super-2 number, since 2×3645374988528² (a number of 26 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38990125 + ... + 39083507.

Almost surely, 2^{3645374988528} 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 3645374988528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6512468675328).

3645374988528 is an abundant number, since it is smaller than the sum of its proper divisors (9379562362128).

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

3645374988528 is a wasteful number, since it uses less digits than its factorization.

3645374988528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93754 (or 93739 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 72.

The spelling of 3645374988528 in words is "three trillion, six hundred forty-five billion, three hundred seventy-four million, nine hundred eighty-eight thousand, five hundred twenty-eight".