3257782560 has 576 divisors, whose sum is σ = 12680478720. Its totient is φ = 757278720.

The previous prime is 3257782559. The next prime is 3257782597. The reversal of 3257782560 is 652877523.

3257782560 is a `hidden beast` number, since 3 + 2 + 5 + 7 + 7 + 82 + 560 = 666.

It is a super-2 number, since 2×3257782560² = 21226294416480307200, 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19507597 + ... + 19507763.

It is an arithmetic number, because the mean of its divisors is an integer number (22014720).

Almost surely, 2^3257782560 is an apocalyptic number.

3257782560 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 3257782560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6340239360).

3257782560 is an abundant number, since it is smaller than the sum of its proper divisors (9422696160).

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

3257782560 is a wasteful number, since it uses less digits than its factorization.

3257782560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 3257782560 is about 57076.9880074273. The cubic root of 3257782560 is about 1482.4294405854.

The spelling of 3257782560 in words is "three billion, two hundred fifty-seven million, seven hundred eighty-two thousand, five hundred sixty".