3253263897072 has 320 divisors, whose sum is σ = 9823899008000. Its totient is φ = 908569239552.

The previous prime is 3253263897053. The next prime is 3253263897073. The reversal of 3253263897072 is 2707983623523.

It is a super-2 number, since 2×3253263897072² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3253263897073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1921596258 + ... + 1921597950.

It is an arithmetic number, because the mean of its divisors is an integer number (30699684400).

Almost surely, 2^{3253263897072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3253263897072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4911949504000).

3253263897072 is an abundant number, since it is smaller than the sum of its proper divisors (6570635110928).

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

3253263897072 is a wasteful number, since it uses less digits than its factorization.

3253263897072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 57.

The spelling of 3253263897072 in words is "three trillion, two hundred fifty-three billion, two hundred sixty-three million, eight hundred ninety-seven thousand, seventy-two".