38233600 has 120 divisors (see below), whose sum is σ = 98944560. Its totient is φ = 14622720.

The previous prime is 38233597. The next prime is 38233609. The reversal of 38233600 is 633283.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38233609) 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, 371149 + ... + 371251.

It is an arithmetic number, because the mean of its divisors is an integer number (824538).

Almost surely, 2^38233600 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 38233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49472280).

38233600 is an abundant number, since it is smaller than the sum of its proper divisors (60710960).

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

38233600 is a wasteful number, since it uses less digits than its factorization.

38233600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 38233600 is about 6183.3324348607. The cubic root of 38233600 is about 336.8850438683.

Adding to 38233600 its reverse (633283), we get a palindrome (38866883).

The spelling of 38233600 in words is "thirty-eight million, two hundred thirty-three thousand, six hundred".