3422355955200 has 1440 divisors, whose sum is σ = 15561789315072. Its totient is φ = 698720256000.

The previous prime is 3422355955099. The next prime is 3422355955259. The reversal of 3422355955200 is 25595532243.

3422355955200 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 3 + 5 + 595 + 52 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 324973935 + ... + 324984465.

Almost surely, 2^{3422355955200} is an apocalyptic number.

3422355955200 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 3422355955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7780894657536).

3422355955200 is an abundant number, since it is smaller than the sum of its proper divisors (12139433359872).

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

3422355955200 is a wasteful number, since it uses less digits than its factorization.

3422355955200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10616 (or 10592 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 3422355955200 in words is "three trillion, four hundred twenty-two billion, three hundred fifty-five million, nine hundred fifty-five thousand, two hundred".