38242800 has 120 divisors (see below), whose sum is σ = 136154480. Its totient is φ = 10195200.

The previous prime is 38242777. The next prime is 38242807. The reversal of 38242800 is 824283.

38242800 is a `hidden beast` number, since 382 + 4 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38242807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9030 + ... + 12570.

Almost surely, 2^38242800 is an apocalyptic number.

38242800 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 38242800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68077240).

38242800 is an abundant number, since it is smaller than the sum of its proper divisors (97911680).

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

38242800 is a wasteful number, since it uses less digits than its factorization.

38242800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3568 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 38242800 is about 6184.0763255316. The cubic root of 38242800 is about 336.9120628067.

The spelling of 38242800 in words is "thirty-eight million, two hundred forty-two thousand, eight hundred".