38233425600 has 294 divisors, whose sum is σ = 141056961980. Its totient is φ = 10195269120.

The previous prime is 38233425589. The next prime is 38233425647. The reversal of 38233425600 is 652433283.

It is a happy number.

38233425600 is a `hidden beast` number, since 3 + 8 + 2 + 3 + 3 + 42 + 5 + 600 = 666.

It is a super-2 number, since 2×38233425600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1150011 + ... + 1182789.

Almost surely, 2^38233425600 is an apocalyptic number.

38233425600 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 38233425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70528480990).

38233425600 is an abundant number, since it is smaller than the sum of its proper divisors (102823536380).

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

38233425600 is an equidigital number, since it uses as much as digits as its factorization.

38233425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32819 (or 32789 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 38233425600 its reverse (652433283), we get a palindrome (38885858883).

The spelling of 38233425600 in words is "thirty-eight billion, two hundred thirty-three million, four hundred twenty-five thousand, six hundred".