3268757376 has 128 divisors (see below), whose sum is σ = 9669600000. Its totient is φ = 1087077888.

The previous prime is 3268757357. The next prime is 3268757389. The reversal of 3268757376 is 6737578623.

3268757376 is a `hidden beast` number, since 3 + 2 + 68 + 7 + 573 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2069355 + ... + 2070933.

It is an arithmetic number, because the mean of its divisors is an integer number (75543750).

Almost surely, 2^3268757376 is an apocalyptic number.

3268757376 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 3268757376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834800000).

3268757376 is an abundant number, since it is smaller than the sum of its proper divisors (6400842624).

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

3268757376 is a wasteful number, since it uses less digits than its factorization.

3268757376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201 (or 2183 counting only the distinct ones).

The product of its digits is 8890560, while the sum is 54.

The square root of 3268757376 is about 57173.0476361021. The cubic root of 3268757376 is about 1484.0922439107.

The spelling of 3268757376 in words is "three billion, two hundred sixty-eight million, seven hundred fifty-seven thousand, three hundred seventy-six".