6314034400 has 108 divisors (see below), whose sum is σ = 16268849352. Its totient is φ = 2392577280.

The previous prime is 6314034169. The next prime is 6314034431. The reversal of 6314034400 is 44304136.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 277869 + ... + 299731.

It is an arithmetic number, because the mean of its divisors is an integer number (150637494).

Almost surely, 2^6314034400 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 6314034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8134424676).

6314034400 is an abundant number, since it is smaller than the sum of its proper divisors (9954814952).

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

6314034400 is a wasteful number, since it uses less digits than its factorization.

6314034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21921 (or 21889 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 6314034400 is about 79460.8985602353. The cubic root of 6314034400 is about 1848.2851799044.

Adding to 6314034400 its reverse (44304136), we get a palindrome (6358338536).

The spelling of 6314034400 in words is "six billion, three hundred fourteen million, thirty-four thousand, four hundred".