3268823375376 has 120 divisors (see below), whose sum is σ = 9856217583576. Its totient is φ = 1005348003840.

The previous prime is 3268823375353. The next prime is 3268823375387. The reversal of 3268823375376 is 6735733288623.

It is a happy number.

3268823375376 is a `hidden beast` number, since 3 + 2 + 68 + 8 + 2 + 3 + 37 + 537 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 578816640000 + 2690006735376 = 760800^2 + 1640124^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3870946 + ... + 4639166.

Almost surely, 2^{3268823375376} is an apocalyptic number.

3268823375376 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 3268823375376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4928108791788).

3268823375376 is an abundant number, since it is smaller than the sum of its proper divisors (6587394208200).

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

3268823375376 is a wasteful number, since it uses less digits than its factorization.

3268823375376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770521 (or 770512 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 63.

The spelling of 3268823375376 in words is "three trillion, two hundred sixty-eight billion, eight hundred twenty-three million, three hundred seventy-five thousand, three hundred seventy-six".