3256508640 has 576 divisors, whose sum is σ = 13378514688. Its totient is φ = 658022400.

The previous prime is 3256508621. The next prime is 3256508657. The reversal of 3256508640 is 468056523.

It is a congruent number.

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, 10607367 + ... + 10607673.

It is an arithmetic number, because the mean of its divisors is an integer number (23226588).

Almost surely, 2^3256508640 is an apocalyptic number.

3256508640 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 3256508640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6689257344).

3256508640 is an abundant number, since it is smaller than the sum of its proper divisors (10122006048).

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

3256508640 is a wasteful number, since it uses less digits than its factorization.

3256508640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 3256508640 is about 57065.8272523934. The cubic root of 3256508640 is about 1482.2361861564.

The spelling of 3256508640 in words is "three billion, two hundred fifty-six million, five hundred eight thousand, six hundred forty".