3257545872 has 240 divisors, whose sum is σ = 10223720640. Its totient is φ = 890072064.

The previous prime is 3257545853. The next prime is 3257545909. The reversal of 3257545872 is 2785457523.

It is a super-2 number, since 2×3257545872² = 21223210216368480768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 47 ways as a sum of consecutive naturals, for example, 11117758 + ... + 11118050.

It is an arithmetic number, because the mean of its divisors is an integer number (42598836).

Almost surely, 2^3257545872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3257545872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5111860320).

3257545872 is an abundant number, since it is smaller than the sum of its proper divisors (6966174768).

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

3257545872 is a wasteful number, since it uses less digits than its factorization.

3257545872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 497 counting only the distinct ones).

The product of its digits is 2352000, while the sum is 48.

The square root of 3257545872 is about 57074.9145597258. The cubic root of 3257545872 is about 1482.3935386848.

The spelling of 3257545872 in words is "three billion, two hundred fifty-seven million, five hundred forty-five thousand, eight hundred seventy-two".