3422822400000 has 816 divisors, whose sum is σ = 12696690484800. Its totient is φ = 911278080000.

The previous prime is 3422822399959. The next prime is 3422822400007. The reversal of 3422822400000 is 42282243.

3422822400000 is a `hidden beast` number, since 34 + 228 + 2 + 2 + 400 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×3422822400000³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3422822400007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5529599691 + ... + 5529600309.

Almost surely, 2^{3422822400000} is an apocalyptic number.

3422822400000 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 3422822400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6348345242400).

3422822400000 is an abundant number, since it is smaller than the sum of its proper divisors (9273868084800).

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

3422822400000 is an frugal number, since it uses more digits than its factorization.

3422822400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 3422822400000 its reverse (42282243), we get a palindrome (3422864682243).

The spelling of 3422822400000 in words is "three trillion, four hundred twenty-two billion, eight hundred twenty-two million, four hundred thousand".