38204400 has 240 divisors, whose sum is σ = 137768960. Its totient is φ = 8985600.

The previous prime is 38204399. The next prime is 38204401. The reversal of 38204400 is 440283.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38204399) and next prime (38204401).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38204401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483561 + ... + 483639.

Almost surely, 2^38204400 is an apocalyptic number.

38204400 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 38204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68884480).

38204400 is an abundant number, since it is smaller than the sum of its proper divisors (99564560).

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

38204400 is a wasteful number, since it uses less digits than its factorization.

38204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 38204400 is about 6180.9707975366. The cubic root of 38204400 is about 336.7992593872.

Adding to 38204400 its reverse (440283), we get a palindrome (38644683).

The spelling of 38204400 in words is "thirty-eight million, two hundred four thousand, four hundred".