34241214000 has 320 divisors, whose sum is σ = 126741888000. Its totient is φ = 7790745600.

The previous prime is 34241213999. The next prime is 34241214011. The reversal of 34241214000 is 41214243.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9784251 + ... + 9787749.

It is an arithmetic number, because the mean of its divisors is an integer number (396068400).

Almost surely, 2^34241214000 is an apocalyptic number.

34241214000 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 34241214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63370944000).

34241214000 is an abundant number, since it is smaller than the sum of its proper divisors (92500674000).

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

34241214000 is a wasteful number, since it uses less digits than its factorization.

34241214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3765 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 34241214000 its reverse (41214243), we get a palindrome (34282428243).

The spelling of 34241214000 in words is "thirty-four billion, two hundred forty-one million, two hundred fourteen thousand".