38398400 has 84 divisors (see below), whose sum is σ = 95810832. Its totient is φ = 15144960.

The previous prime is 38398379. The next prime is 38398403. The reversal of 38398400 is 489383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38398403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164684 + ... + 164916.

Almost surely, 2^38398400 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 38398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47905416).

38398400 is an abundant number, since it is smaller than the sum of its proper divisors (57412432).

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

38398400 is a wasteful number, since it uses less digits than its factorization.

38398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 38398400 is about 6196.6442531422. The cubic root of 38398400 is about 337.3683803186.

The spelling of 38398400 in words is "thirty-eight million, three hundred ninety-eight thousand, four hundred".