3251987568 has 160 divisors (see below), whose sum is σ = 9577154880. Its totient is φ = 1056107520.

The previous prime is 3251987567. The next prime is 3251987569. The reversal of 3251987568 is 8657891523.

3251987568 is a `hidden beast` number, since 325 + 198 + 75 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (3251987567) and next prime (3251987569).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3251987567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3960598 + ... + 3961418.

It is an arithmetic number, because the mean of its divisors is an integer number (59857218).

Almost surely, 2^3251987568 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 3251987568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4788577440).

3251987568 is an abundant number, since it is smaller than the sum of its proper divisors (6325167312).

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

3251987568 is a wasteful number, since it uses less digits than its factorization.

3251987568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1052 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The square root of 3251987568 is about 57026.2007151099. The cubic root of 3251987568 is about 1481.5499297151.

The spelling of 3251987568 in words is "three billion, two hundred fifty-one million, nine hundred eighty-seven thousand, five hundred sixty-eight".