3258287493120 has 520 divisors, whose sum is σ = 12742040171520. Its totient is φ = 789883453440.

The previous prime is 3258287493079. The next prime is 3258287493187. The reversal of 3258287493120 is 213947828523.

3258287493120 is a `hidden beast` number, since 3 + 2 + 5 + 8 + 28 + 7 + 493 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18158401 + ... + 18336959.

Almost surely, 2^{3258287493120} is an apocalyptic number.

3258287493120 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 3258287493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6371020085760).

3258287493120 is an abundant number, since it is smaller than the sum of its proper divisors (9483752678400).

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

3258287493120 is a wasteful number, since it uses less digits than its factorization.

3258287493120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178611 (or 178580 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 3258287493120 in words is "three trillion, two hundred fifty-eight billion, two hundred eighty-seven million, four hundred ninety-three thousand, one hundred twenty".