3256848000 has 640 divisors, whose sum is σ = 13862534400. Its totient is φ = 742348800.

The previous prime is 3256847999. The next prime is 3256848013. The reversal of 3256848000 is 8486523.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9071821 + ... + 9072179.

It is an arithmetic number, because the mean of its divisors is an integer number (21660210).

Almost surely, 2^3256848000 is an apocalyptic number.

3256848000 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 3256848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6931267200).

3256848000 is an abundant number, since it is smaller than the sum of its proper divisors (10605686400).

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

3256848000 is an equidigital number, since it uses as much as digits as its factorization.

3256848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3256848000 is about 57068.8005831558. The cubic root of 3256848000 is about 1482.2876721962.

The spelling of 3256848000 in words is "three billion, two hundred fifty-six million, eight hundred forty-eight thousand".