34122440000 has 140 divisors (see below), whose sum is σ = 92305802688. Its totient is φ = 12408000000.

The previous prime is 34122439999. The next prime is 34122440003. The reversal of 34122440000 is 4422143.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34122440003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 401225 + ... + 478775.

Almost surely, 2^34122440000 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 34122440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46152901344).

34122440000 is an abundant number, since it is smaller than the sum of its proper divisors (58183362688).

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

34122440000 is an equidigital number, since it uses as much as digits as its factorization.

34122440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77594 (or 77569 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 34122440000 its reverse (4422143), we get a palindrome (34126862143).

The spelling of 34122440000 in words is "thirty-four billion, one hundred twenty-two million, four hundred forty thousand".