34254220000 has 960 divisors, whose sum is σ = 119031897600. Its totient is φ = 9354240000.

The previous prime is 34254219983. The next prime is 34254220001. The reversal of 34254220000 is 2245243.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34254220001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 580579971 + ... + 580580029.

It is an arithmetic number, because the mean of its divisors is an integer number (123991560).

Almost surely, 2^34254220000 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 34254220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59515948800).

34254220000 is an abundant number, since it is smaller than the sum of its proper divisors (84777677600).

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

34254220000 is a wasteful number, since it uses less digits than its factorization.

34254220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

Adding to 34254220000 its reverse (2245243), we get a palindrome (34256465243).

The spelling of 34254220000 in words is "thirty-four billion, two hundred fifty-four million, two hundred twenty thousand".