6134634400 has 144 divisors (see below), whose sum is σ = 15317769600. Its totient is φ = 2398556160.

The previous prime is 6134634391. The next prime is 6134634419. The reversal of 6134634400 is 44364316.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7141171 + ... + 7142029.

It is an arithmetic number, because the mean of its divisors is an integer number (106373400).

Almost surely, 2^6134634400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6134634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7658884800).

6134634400 is an abundant number, since it is smaller than the sum of its proper divisors (9183135200).

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

6134634400 is a wasteful number, since it uses less digits than its factorization.

6134634400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 6134634400 is about 78323.9069505601. The cubic root of 6134634400 is about 1830.6116780323.

Adding to 6134634400 its reverse (44364316), we get a palindrome (6178998716).

The spelling of 6134634400 in words is "six billion, one hundred thirty-four million, six hundred thirty-four thousand, four hundred".