38225200 has 60 divisors (see below), whose sum is σ = 98913808. Its totient is φ = 14112000.

The previous prime is 38225191. The next prime is 38225221. The reversal of 38225200 is 252283.

It is a super-2 number, since 2×38225200² = 2922331830080000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1525 + ... + 8875.

Almost surely, 2^38225200 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 38225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49456904).

38225200 is an abundant number, since it is smaller than the sum of its proper divisors (60688608).

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

38225200 is a wasteful number, since it uses less digits than its factorization.

38225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7382 (or 7371 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 38225200 is about 6182.6531521670. The cubic root of 38225200 is about 336.8603706173.

Adding to 38225200 its reverse (252283), we get a palindrome (38477483).

The spelling of 38225200 in words is "thirty-eight million, two hundred twenty-five thousand, two hundred".