38083200 has 96 divisors (see below), whose sum is σ = 125468160. Its totient is φ = 10152960.

The previous prime is 38083169. The next prime is 38083237. The reversal of 38083200 is 238083.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×38083200³ (a number of 24 digits) contains 333 as substring.

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

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, 7617 + ... + 11583.

It is an arithmetic number, because the mean of its divisors is an integer number (1306960).

Almost surely, 2^38083200 is an apocalyptic number.

38083200 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 38083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62734080).

38083200 is an abundant number, since it is smaller than the sum of its proper divisors (87384960).

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

38083200 is a wasteful number, since it uses less digits than its factorization.

38083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3994 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 38083200 is about 6171.1587242592. The cubic root of 38083200 is about 336.4427270465.

It can be divided in two parts, 38083 and 200, that added together give a palindrome (38283).

The spelling of 38083200 in words is "thirty-eight million, eighty-three thousand, two hundred".