3225288000 has 448 divisors, whose sum is σ = 12248570880. Its totient is φ = 739584000.

The previous prime is 3225287993. The next prime is 3225288007. The reversal of 3225288000 is 8825223.

It is an interprime number because it is at equal distance from previous prime (3225287993) and next prime (3225288007).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3225288007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5015679 + ... + 5016321.

It is an arithmetic number, because the mean of its divisors is an integer number (27340560).

Almost surely, 2^3225288000 is an apocalyptic number.

3225288000 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 3225288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124285440).

3225288000 is an abundant number, since it is smaller than the sum of its proper divisors (9023282880).

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

3225288000 is a wasteful number, since it uses less digits than its factorization.

3225288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 3225288000 is about 56791.6191000045. The cubic root of 3225288000 is about 1477.4841601481.

The spelling of 3225288000 in words is "three billion, two hundred twenty-five million, two hundred eighty-eight thousand".