3225493415808 has 288 divisors, whose sum is σ = 9820179986760. Its totient is φ = 1054863793152.

The previous prime is 3225493415803. The next prime is 3225493415867. The reversal of 3225493415808 is 8085143945223.

3225493415808 is a `hidden beast` number, since 3 + 2 + 2 + 54 + 9 + 3 + 4 + 1 + 580 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3225493415803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44473591 + ... + 44546057.

Almost surely, 2^{3225493415808} 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 3225493415808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910089993380).

3225493415808 is an abundant number, since it is smaller than the sum of its proper divisors (6594686570952).

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

3225493415808 is an frugal number, since it uses more digits than its factorization.

3225493415808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72558 (or 72525 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 3225493415808 in words is "three trillion, two hundred twenty-five billion, four hundred ninety-three million, four hundred fifteen thousand, eight hundred eight".