38048200 has 48 divisors (see below), whose sum is σ = 89369280. Its totient is φ = 15063360.

The previous prime is 38048147. The next prime is 38048207. The reversal of 38048200 is 284083.

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

It is not an unprimeable number, because it can be changed into a prime (38048207) 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, 19677 + ... + 21523.

It is an arithmetic number, because the mean of its divisors is an integer number (1861860).

Almost surely, 2^38048200 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 38048200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44684640).

38048200 is an abundant number, since it is smaller than the sum of its proper divisors (51321080).

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

38048200 is a wasteful number, since it uses less digits than its factorization.

38048200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 38048200 is about 6168.3223002693. The cubic root of 38048200 is about 336.3396273011.

The spelling of 38048200 in words is "thirty-eight million, forty-eight thousand, two hundred".