38030400 has 252 divisors, whose sum is σ = 143306800. Its totient is φ = 9538560.

The previous prime is 38030393. The next prime is 38030401. The reversal of 38030400 is 403083.

It is a super-2 number, since 2×38030400² = 2892622648320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (38030401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 273531 + ... + 273669.

Almost surely, 2^38030400 is an apocalyptic number.

38030400 is a gapful number since it is divisible by the number (30) 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 38030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71653400).

38030400 is an abundant number, since it is smaller than the sum of its proper divisors (105276400).

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

38030400 is a wasteful number, since it uses less digits than its factorization.

38030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 38030400 is about 6166.8792756142. The cubic root of 38030400 is about 336.2871694607.

Adding to 38030400 its reverse (403083), we get a palindrome (38433483).

The spelling of 38030400 in words is "thirty-eight million, thirty thousand, four hundred".