38252600 has 48 divisors (see below), whose sum is σ = 89488320. Its totient is φ = 15206400.

The previous prime is 38252587. The next prime is 38252603. The reversal of 38252600 is 625283.

It is a super-2 number, since 2×38252600² = 2926522813520000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38252600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38252603) 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, 38105 + ... + 39095.

It is an arithmetic number, because the mean of its divisors is an integer number (1864340).

Almost surely, 2^38252600 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 38252600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44744160).

38252600 is an abundant number, since it is smaller than the sum of its proper divisors (51235720).

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

38252600 is a wasteful number, since it uses less digits than its factorization.

38252600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 38252600 is about 6184.8686323963. The cubic root of 38252600 is about 336.9408390837.

Adding to 38252600 its reverse (625283), we get a palindrome (38877883).

The spelling of 38252600 in words is "thirty-eight million, two hundred fifty-two thousand, six hundred".