34022400000 has 336 divisors, whose sum is σ = 113649788448. Its totient is φ = 9052160000.

The previous prime is 34022399981. The next prime is 34022400001. The reversal of 34022400000 is 422043.

It is a happy number.

It is a super-4 number, since 4×34022400000⁴ (a number of 43 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (34022400001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76799779 + ... + 76800221.

It is an arithmetic number, because the mean of its divisors is an integer number (338243418).

Almost surely, 2^34022400000 is an apocalyptic number.

34022400000 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 34022400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56824894224).

34022400000 is an abundant number, since it is smaller than the sum of its proper divisors (79627388448).

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

34022400000 is an frugal number, since it uses more digits than its factorization.

34022400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 34022400000 its reverse (422043), we get a palindrome (34022822043).

The spelling of 34022400000 in words is "thirty-four billion, twenty-two million, four hundred thousand".