3312230222400 has 336 divisors, whose sum is σ = 11879010194688. Its totient is φ = 801323264000.

The previous prime is 3312230222381. The next prime is 3312230222407. The reversal of 3312230222400 is 42220322133.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3312230222407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25860919 + ... + 25988681.

It is an arithmetic number, because the mean of its divisors is an integer number (35354197008).

Almost surely, 2^{3312230222400} is an apocalyptic number.

3312230222400 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 3312230222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5939505097344).

3312230222400 is an abundant number, since it is smaller than the sum of its proper divisors (8566779972288).

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

3312230222400 is a wasteful number, since it uses less digits than its factorization.

3312230222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128290 (or 128275 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 3312230222400 its reverse (42220322133), we get a palindrome (3354450544533).

The spelling of 3312230222400 in words is "three trillion, three hundred twelve billion, two hundred thirty million, two hundred twenty-two thousand, four hundred".