3258672565824 has 336 divisors, whose sum is σ = 10447837912512. Its totient is φ = 1001092442112.

The previous prime is 3258672565793. The next prime is 3258672565831. The reversal of 3258672565824 is 4285652768523.

3258672565824 is a `hidden beast` number, since 3 + 2 + 5 + 8 + 67 + 2 + 565 + 8 + 2 + 4 = 666.

It is a super-2 number, since 2×3258672565824² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132008587 + ... + 132033269.

It is an arithmetic number, because the mean of its divisors is an integer number (31094755692).

Almost surely, 2^{3258672565824} 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 3258672565824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5223918956256).

3258672565824 is an abundant number, since it is smaller than the sum of its proper divisors (7189165346688).

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

3258672565824 is a wasteful number, since it uses less digits than its factorization.

3258672565824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25376 (or 25354 counting only the distinct ones).

The product of its digits is 193536000, while the sum is 63.

The spelling of 3258672565824 in words is "three trillion, two hundred fifty-eight billion, six hundred seventy-two million, five hundred sixty-five thousand, eight hundred twenty-four".