38074200 has 192 divisors, whose sum is σ = 128563200. Its totient is φ = 9292800.

The previous prime is 38074189. The next prime is 38074207. The reversal of 38074200 is 247083.

38074200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38074207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427756 + ... + 427844.

It is an arithmetic number, because the mean of its divisors is an integer number (669600).

Almost surely, 2^38074200 is an apocalyptic number.

38074200 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 38074200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64281600).

38074200 is an abundant number, since it is smaller than the sum of its proper divisors (90489000).

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

38074200 is a wasteful number, since it uses less digits than its factorization.

38074200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 38074200 is about 6170.4294826211. The cubic root of 38074200 is about 336.4162217187.

The spelling of 38074200 in words is "thirty-eight million, seventy-four thousand, two hundred".