3225858048 has 312 divisors, whose sum is σ = 11067417088. Its totient is φ = 919683072.

The previous prime is 3225857989. The next prime is 3225858071. The reversal of 3225858048 is 8408585223.

3225858048 is a `hidden beast` number, since 3 + 2 + 25 + 8 + 580 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3225857994 and 3225858012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6967065 + ... + 6967527.

Almost surely, 2^3225858048 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 3225858048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5533708544).

3225858048 is an abundant number, since it is smaller than the sum of its proper divisors (7841559040).

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

3225858048 is an frugal number, since it uses more digits than its factorization.

3225858048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 3225858048 is about 56796.6376469593. The cubic root of 3225858048 is about 1477.5712001556.

The spelling of 3225858048 in words is "three billion, two hundred twenty-five million, eight hundred fifty-eight thousand, forty-eight".