3257686872 has 144 divisors (see below), whose sum is σ = 9756747000. Its totient is φ = 981192960.

The previous prime is 3257686849. The next prime is 3257686879. The reversal of 3257686872 is 2786867523.

3257686872 is a `hidden beast` number, since 3 + 2 + 576 + 8 + 68 + 7 + 2 = 666.

It is a super-2 number, since 2×3257686872² = 21225047512002288768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3257686879) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1558404 + ... + 1560492.

Almost surely, 2^3257686872 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 3257686872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4878373500).

3257686872 is an abundant number, since it is smaller than the sum of its proper divisors (6499060128).

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

3257686872 is a wasteful number, since it uses less digits than its factorization.

3257686872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2284 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 3257686872 is about 57076.1497650288. The cubic root of 3257686872 is about 1482.4149264085.

The spelling of 3257686872 in words is "three billion, two hundred fifty-seven million, six hundred eighty-six thousand, eight hundred seventy-two".