3268574693760 has 256 divisors, whose sum is σ = 10990469318400. Its totient is φ = 823972700160.

The previous prime is 3268574693749. The next prime is 3268574693831. The reversal of 3268574693760 is 673964758623.

It is a junction number, because it is equal to n+sod(n) for n = 3268574693691 and 3268574693700.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 16940230 + ... + 17132090.

It is an arithmetic number, because the mean of its divisors is an integer number (42931520775).

Almost surely, 2^{3268574693760} is an apocalyptic number.

3268574693760 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 3268574693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5495234659200).

3268574693760 is an abundant number, since it is smaller than the sum of its proper divisors (7721894624640).

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

3268574693760 is a wasteful number, since it uses less digits than its factorization.

3268574693760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192369 (or 192357 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 66.

The spelling of 3268574693760 in words is "three trillion, two hundred sixty-eight billion, five hundred seventy-four million, six hundred ninety-three thousand, seven hundred sixty".