3257233103712 has 384 divisors, whose sum is σ = 10346434560000. Its totient is φ = 876492859392.

The previous prime is 3257233103711. The next prime is 3257233103749. The reversal of 3257233103712 is 2173013327523.

3257233103712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3257233103711) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2469470989 + ... + 2469472307.

It is an arithmetic number, because the mean of its divisors is an integer number (26943840000).

Almost surely, 2^{3257233103712} is an apocalyptic number.

3257233103712 is a gapful number since it is divisible by the number (32) 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 3257233103712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5173217280000).

3257233103712 is an abundant number, since it is smaller than the sum of its proper divisors (7089201456288).

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

3257233103712 is a wasteful number, since it uses less digits than its factorization.

3257233103712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 39.

The spelling of 3257233103712 in words is "three trillion, two hundred fifty-seven billion, two hundred thirty-three million, one hundred three thousand, seven hundred twelve".