34022031320000 has 280 divisors, whose sum is σ = 91740432027024. Its totient is φ = 12462114816000.

The previous prime is 34022031319993. The next prime is 34022031320033. The reversal of 34022031320000 is 2313022043.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24483887 + ... + 25836113.

Almost surely, 2^{34022031320000} 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 34022031320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45870216013512).

34022031320000 is an abundant number, since it is smaller than the sum of its proper divisors (57718400707024).

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

34022031320000 is a wasteful number, since it uses less digits than its factorization.

34022031320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352313 (or 1352288 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 34022031320000 its reverse (2313022043), we get a palindrome (34024344342043).

The spelling of 34022031320000 in words is "thirty-four trillion, twenty-two billion, thirty-one million, three hundred twenty thousand".