34302224000000 has 308 divisors, whose sum is σ = 93505123431600. Its totient is φ = 12473472000000.

The previous prime is 34302223999973. The next prime is 34302224000029. The reversal of 34302224000000 is 42220343.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 27 ways as a sum of consecutive naturals, for example, 175902551 + ... + 176097449.

Almost surely, 2^{34302224000000} 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 34302224000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46752561715800).

34302224000000 is an abundant number, since it is smaller than the sum of its proper divisors (59202899431600).

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

34302224000000 is an frugal number, since it uses more digits than its factorization.

34302224000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194960 (or 194917 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 34302224000000 its reverse (42220343), we get a palindrome (34302266220343).

The spelling of 34302224000000 in words is "thirty-four trillion, three hundred two billion, two hundred twenty-four million", and thus it is an aban number.