3225613440 has 256 divisors, whose sum is σ = 11865553920. Its totient is φ = 730066944.

The previous prime is 3225613429. The next prime is 3225613441. The reversal of 3225613440 is 443165223.

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

It is a junction number, because it is equal to n+sod(n) for n = 3225613398 and 3225613407.

It is not an unprimeable number, because it can be changed into a prime (3225613441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1436959 + ... + 1439201.

It is an arithmetic number, because the mean of its divisors is an integer number (46349820).

Almost surely, 2^3225613440 is an apocalyptic number.

3225613440 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 3225613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5932776960).

3225613440 is an abundant number, since it is smaller than the sum of its proper divisors (8639940480).

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

3225613440 is a wasteful number, since it uses less digits than its factorization.

3225613440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 3225613440 is about 56794.4842392287. The cubic root of 3225613440 is about 1477.5338524829.

Adding to 3225613440 its reverse (443165223), we get a palindrome (3668778663).

The spelling of 3225613440 in words is "three billion, two hundred twenty-five million, six hundred thirteen thousand, four hundred forty".