3287402897688 has 576 divisors, whose sum is σ = 11286919987200. Its totient is φ = 845978065920.

The previous prime is 3287402897659. The next prime is 3287402897707. The reversal of 3287402897688 is 8867982047823.

3287402897688 is a `hidden beast` number, since 3 + 2 + 87 + 402 + 89 + 7 + 68 + 8 = 666.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1557271753 + ... + 1557273863.

It is an arithmetic number, because the mean of its divisors is an integer number (19595347200).

Almost surely, 2^{3287402897688} 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 3287402897688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5643459993600).

3287402897688 is an abundant number, since it is smaller than the sum of its proper divisors (7999517089512).

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

3287402897688 is a wasteful number, since it uses less digits than its factorization.

3287402897688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 3287402897688 in words is "three trillion, two hundred eighty-seven billion, four hundred two million, eight hundred ninety-seven thousand, six hundred eighty-eight".