3257476560 has 200 divisors, whose sum is σ = 12184298280. Its totient is φ = 801819648.

The previous prime is 3257476531. The next prime is 3257476577. The reversal of 3257476560 is 656747523.

3257476560 is a `hidden beast` number, since 3 + 2 + 574 + 76 + 5 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18045504 + 3239431056 = 4248^2 + 56916^2 .

It is a super-2 number, since 2×3257476560² = 21222307077898867200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 64906 + ... + 103574.

Almost surely, 2^3257476560 is an apocalyptic number.

3257476560 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 3257476560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6092149140).

3257476560 is an abundant number, since it is smaller than the sum of its proper divisors (8926821720).

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

3257476560 is a wasteful number, since it uses less digits than its factorization.

3257476560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38707 (or 38692 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The square root of 3257476560 is about 57074.3073545356. The cubic root of 3257476560 is about 1482.3830247996.

The spelling of 3257476560 in words is "three billion, two hundred fifty-seven million, four hundred seventy-six thousand, five hundred sixty".