3268083456 has 288 divisors, whose sum is σ = 10755037440. Its totient is φ = 970444800.

The previous prime is 3268083439. The next prime is 3268083493. The reversal of 3268083456 is 6543808623.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4029291 + ... + 4030101.

It is an arithmetic number, because the mean of its divisors is an integer number (37343880).

Almost surely, 2^3268083456 is an apocalyptic number.

3268083456 is a gapful number since it is divisible by the number (36) 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 3268083456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5377518720).

3268083456 is an abundant number, since it is smaller than the sum of its proper divisors (7486953984).

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

3268083456 is a wasteful number, since it uses less digits than its factorization.

3268083456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 3268083456 is about 57167.1536461279. The cubic root of 3268083456 is about 1483.9902450905.

The spelling of 3268083456 in words is "three billion, two hundred sixty-eight million, eighty-three thousand, four hundred fifty-six".