34341144400 has 60 divisors (see below), whose sum is σ = 82796408032. Its totient is φ = 13687873920.

The previous prime is 34341144373. The next prime is 34341144419. The reversal of 34341144400 is 444114343.

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 11 ways as a sum of consecutive naturals, for example, 38484 + ... + 264883.

Almost surely, 2^34341144400 is an apocalyptic number.

It is an amenable number.

34341144400 is an abundant number, since it is smaller than the sum of its proper divisors (48455263632).

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

34341144400 is a wasteful number, since it uses less digits than its factorization.

34341144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303668 (or 303657 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 34341144400 its reverse (444114343), we get a palindrome (34785258743).

The spelling of 34341144400 in words is "thirty-four billion, three hundred forty-one million, one hundred forty-four thousand, four hundred".