3322242201300 has 288 divisors, whose sum is σ = 11518032798720. Its totient is φ = 729828633600.

The previous prime is 3322242201233. The next prime is 3322242201337. The reversal of 3322242201300 is 31022422233.

It is a super-2 number, since 2×3322242201300² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 290224 + ... + 2593976.

It is an arithmetic number, because the mean of its divisors is an integer number (39993169440).

Almost surely, 2^{3322242201300} is an apocalyptic number.

3322242201300 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 3322242201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5759016399360).

3322242201300 is an abundant number, since it is smaller than the sum of its proper divisors (8195790597420).

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

3322242201300 is a wasteful number, since it uses less digits than its factorization.

3322242201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303823 (or 2303816 counting only the distinct ones).

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

Adding to 3322242201300 its reverse (31022422233), we get a palindrome (3353264623533).

The spelling of 3322242201300 in words is "three trillion, three hundred twenty-two billion, two hundred forty-two million, two hundred one thousand, three hundred".