634334400 has 756 divisors, whose sum is σ = 2800624320. Its totient is φ = 135475200.

The previous prime is 634334387. The next prime is 634334443. The reversal of 634334400 is 4433436.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 20462385 + ... + 20462415.

Almost surely, 2^634334400 is an apocalyptic number.

634334400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400312160).

634334400 is an abundant number, since it is smaller than the sum of its proper divisors (2166289920).

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

634334400 is a wasteful number, since it uses less digits than its factorization.

634334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 634334400 is about 25185.9961089491. The cubic root of 634334400 is about 859.2233839854.

Adding to 634334400 its reverse (4433436), we get a palindrome (638767836).

The spelling of 634334400 in words is "six hundred thirty-four million, three hundred thirty-four thousand, four hundred".