3258985872120 has 512 divisors, whose sum is σ = 11235461529600. Its totient is φ = 748993996800.

The previous prime is 3258985872113. The next prime is 3258985872143. The reversal of 3258985872120 is 212785898523.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 741181762 + ... + 741186158.

It is an arithmetic number, because the mean of its divisors is an integer number (21944260800).

Almost surely, 2^{3258985872120} is an apocalyptic number.

3258985872120 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 3258985872120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5617730764800).

3258985872120 is an abundant number, since it is smaller than the sum of its proper divisors (7976475657480).

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

3258985872120 is a wasteful number, since it uses less digits than its factorization.

3258985872120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4819 (or 4815 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 60.

The spelling of 3258985872120 in words is "three trillion, two hundred fifty-eight billion, nine hundred eighty-five million, eight hundred seventy-two thousand, one hundred twenty".