38268400 has 60 divisors (see below), whose sum is σ = 95139000. Its totient is φ = 14775040.

The previous prime is 38268331. The next prime is 38268401. The reversal of 38268400 is 486283.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38268401) 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, 9951 + ... + 13249.

It is an arithmetic number, because the mean of its divisors is an integer number (1585650).

Almost surely, 2^38268400 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 38268400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47569500).

38268400 is an abundant number, since it is smaller than the sum of its proper divisors (56870600).

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

38268400 is a wasteful number, since it uses less digits than its factorization.

38268400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3346 (or 3335 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 38268400 is about 6186.1458114079. The cubic root of 38268400 is about 336.9872231418.

The spelling of 38268400 in words is "thirty-eight million, two hundred sixty-eight thousand, four hundred".