3257616960 has 672 divisors, whose sum is σ = 13119079680. Its totient is φ = 759103488.

The previous prime is 3257616941. The next prime is 3257617001. The reversal of 3257616960 is 696167523.

3257616960 is a `hidden beast` number, since 3 + 2 + 576 + 16 + 9 + 60 = 666.

It is a super-2 number, since 2×3257616960² = 21224136516159283200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33583632 + ... + 33583728.

It is an arithmetic number, because the mean of its divisors is an integer number (19522440).

Almost surely, 2^3257616960 is an apocalyptic number.

3257616960 is a gapful number since it is divisible by the number (30) 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 3257616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6559539840).

3257616960 is an abundant number, since it is smaller than the sum of its proper divisors (9861462720).

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

3257616960 is a wasteful number, since it uses less digits than its factorization.

3257616960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3257616960 is about 57075.5373167875. The cubic root of 3257616960 is about 1482.4043218152.

The spelling of 3257616960 in words is "three billion, two hundred fifty-seven million, six hundred sixteen thousand, nine hundred sixty".