3256970880 has 384 divisors, whose sum is σ = 11341486080. Its totient is φ = 794271744.

The previous prime is 3256970869. The next prime is 3256970897. The reversal of 3256970880 is 880796523.

3256970880 = 5001² + 5002² + ... + 5127².

It is a tau number, because it is divible by the number of its divisors (384).

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, 25645377 + ... + 25645503.

It is an arithmetic number, because the mean of its divisors is an integer number (29535120).

Almost surely, 2^3256970880 is an apocalyptic number.

3256970880 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 3256970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5670743040).

3256970880 is an abundant number, since it is smaller than the sum of its proper divisors (8084515200).

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

3256970880 is a wasteful number, since it uses less digits than its factorization.

3256970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 3256970880 is about 57069.8771682575. The cubic root of 3256970880 is about 1482.3063140670.

The spelling of 3256970880 in words is "three billion, two hundred fifty-six million, nine hundred seventy thousand, eight hundred eighty".