3257888256 has 320 divisors, whose sum is σ = 11148572160. Its totient is φ = 920125440.

The previous prime is 3257888251. The next prime is 3257888261. The reversal of 3257888256 is 6528887523.

It is an interprime number because it is at equal distance from previous prime (3257888251) and next prime (3257888261).

It is a super-2 number, since 2×3257888256² = 21227671777165443072, which contains 22 as substring.

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

Its product of digits (6451200) is a multiple of the sum of its prime divisors (400).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3257888251) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12676480 + ... + 12676736.

It is an arithmetic number, because the mean of its divisors is an integer number (34839288).

Almost surely, 2^3257888256 is an apocalyptic number.

3257888256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3257888256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5574286080).

3257888256 is an abundant number, since it is smaller than the sum of its proper divisors (7890683904).

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

3257888256 is a wasteful number, since it uses less digits than its factorization.

3257888256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 400 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 3257888256 is about 57077.9139072198. The cubic root of 3257888256 is about 1482.4454724685.

The spelling of 3257888256 in words is "three billion, two hundred fifty-seven million, eight hundred eighty-eight thousand, two hundred fifty-six".