38314400 has 72 divisors (see below), whose sum is σ = 95618880. Its totient is φ = 14984960.

The previous prime is 38314399. The next prime is 38314403. The reversal of 38314400 is 441383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38314403) 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, 37091 + ... + 38109.

It is an arithmetic number, because the mean of its divisors is an integer number (1328040).

Almost surely, 2^38314400 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 38314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47809440).

38314400 is an abundant number, since it is smaller than the sum of its proper divisors (57304480).

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

38314400 is a wasteful number, since it uses less digits than its factorization.

38314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 38314400 is about 6189.8626802216. The cubic root of 38314400 is about 337.1221926843.

Adding to 38314400 its reverse (441383), we get a palindrome (38755783).

The spelling of 38314400 in words is "thirty-eight million, three hundred fourteen thousand, four hundred".