3225845892096 has 297 divisors, whose sum is σ = 9520592695159. Its totient is φ = 1052004974592.

The previous prime is 3225845892091. The next prime is 3225845892109. The reversal of 3225845892096 is 6902985485223.

The square root of 3225845892096 is 1796064.

It is a perfect power (a square), and thus also a powerful number.

3225845892096 is a `hidden beast` number, since 3 + 2 + 2 + 5 + 8 + 458 + 92 + 0 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58015466496 + 3167830425600 = 240864^2 + 1779840^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3225845892091) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9138373456 + ... + 9138373808.

Almost surely, 2^{3225845892096} is an apocalyptic number.

3225845892096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3225845892096 is the 1796064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3225845892096

3225845892096 is an abundant number, since it is smaller than the sum of its proper divisors (6294746803063).

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

3225845892096 is an frugal number, since it uses more digits than its factorization.

3225845892096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 3225845892096 in words is "three trillion, two hundred twenty-five billion, eight hundred forty-five million, eight hundred ninety-two thousand, ninety-six".