34241472400 has 60 divisors (see below), whose sum is σ = 84488556052. Its totient is φ = 13326405120.

The previous prime is 34241472359. The next prime is 34241472407. The reversal of 34241472400 is 427414243.

It can be written as a sum of positive squares in 6 ways, for example, as 2312071056 + 31929401344 = 48084^2 + 178688^2 .

It is not an unprimeable number, because it can be changed into a prime (34241472407) 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, 1142007 + ... + 1171606.

Almost surely, 2^34241472400 is an apocalyptic number.

It is an amenable number.

34241472400 is an abundant number, since it is smaller than the sum of its proper divisors (50247083652).

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

34241472400 is a wasteful number, since it uses less digits than its factorization.

34241472400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313668 (or 2313657 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 31.

Adding to 34241472400 its reverse (427414243), we get a palindrome (34668886643).

The spelling of 34241472400 in words is "thirty-four billion, two hundred forty-one million, four hundred seventy-two thousand, four hundred".