3257568468 has 384 divisors, whose sum is σ = 11321856000. Its totient is φ = 784442880.

The previous prime is 3257568439. The next prime is 3257568481. The reversal of 3257568468 is 8648657523.

3257568468 is a `hidden beast` number, since 3 + 2 + 575 + 6 + 8 + 4 + 68 = 666.

It is a super-2 number, since 2×3257568468² = 21223504647415734048, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 8374018 + ... + 8374406.

It is an arithmetic number, because the mean of its divisors is an integer number (29484000).

Almost surely, 2^3257568468 is an apocalyptic number.

3257568468 is a gapful number since it is divisible by the number (38) 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 3257568468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660928000).

3257568468 is an abundant number, since it is smaller than the sum of its proper divisors (8064287532).

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

3257568468 is a wasteful number, since it uses less digits than its factorization.

3257568468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 484 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The square root of 3257568468 is about 57075.1125097446. The cubic root of 3257568468 is about 1482.3969662228.

The spelling of 3257568468 in words is "three billion, two hundred fifty-seven million, five hundred sixty-eight thousand, four hundred sixty-eight".