34114442200 has 48 divisors (see below), whose sum is σ = 79350390000. Its totient is φ = 13639873920.

The previous prime is 34114442179. The next prime is 34114442207. The reversal of 34114442200 is 224441143.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34114442207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 442101 + ... + 513499.

It is an arithmetic number, because the mean of its divisors is an integer number (1653133125).

Almost surely, 2^34114442200 is an apocalyptic number.

It is an amenable number.

34114442200 is an abundant number, since it is smaller than the sum of its proper divisors (45235947800).

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

34114442200 is a wasteful number, since it uses less digits than its factorization.

34114442200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73804 (or 73795 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 34114442200 its reverse (224441143), we get a palindrome (34338883343).

The spelling of 34114442200 in words is "thirty-four billion, one hundred fourteen million, four hundred forty-two thousand, two hundred".