34114221400 has 72 divisors (see below), whose sum is σ = 92265071220. Its totient is φ = 11696301120.

The previous prime is 34114221331. The next prime is 34114221413. The reversal of 34114221400 is 412241143.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1730722 + ... + 1750321.

Almost surely, 2^34114221400 is an apocalyptic number.

It is an amenable number.

34114221400 is an abundant number, since it is smaller than the sum of its proper divisors (58150849820).

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

34114221400 is a wasteful number, since it uses less digits than its factorization.

34114221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3481073 (or 3481057 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 34114221400 its reverse (412241143), we get a palindrome (34526462543).

The spelling of 34114221400 in words is "thirty-four billion, one hundred fourteen million, two hundred twenty-one thousand, four hundred".