38241800 has 48 divisors (see below), whose sum is σ = 89793360. Its totient is φ = 15145280.

The previous prime is 38241793. The next prime is 38241803. The reversal of 38241800 is 814283.

It is a self number, because there is not a number n which added to its sum of digits gives 38241800.

It is not an unprimeable number, because it can be changed into a prime (38241803) 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, 20507 + ... + 22293.

It is an arithmetic number, because the mean of its divisors is an integer number (1870695).

Almost surely, 2^38241800 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 38241800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44896680).

38241800 is an abundant number, since it is smaller than the sum of its proper divisors (51551560).

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

38241800 is a wasteful number, since it uses less digits than its factorization.

38241800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 38241800 is about 6183.9954721846. The cubic root of 38241800 is about 336.9091261755.

The spelling of 38241800 in words is "thirty-eight million, two hundred forty-one thousand, eight hundred".