3255122322400 has 288 divisors, whose sum is σ = 8630084076768. Its totient is φ = 1191778099200.

The previous prime is 3255122322379. The next prime is 3255122322437. The reversal of 3255122322400 is 42232215523.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 919264630 + ... + 919268170.

It is an arithmetic number, because the mean of its divisors is an integer number (29965569711).

Almost surely, 2^{3255122322400} 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 3255122322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4315042038384).

3255122322400 is an abundant number, since it is smaller than the sum of its proper divisors (5374961754368).

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

3255122322400 is a wasteful number, since it uses less digits than its factorization.

3255122322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4294 (or 4281 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 3255122322400 its reverse (42232215523), we get a palindrome (3297354537923).

The spelling of 3255122322400 in words is "three trillion, two hundred fifty-five billion, one hundred twenty-two million, three hundred twenty-two thousand, four hundred".