38197200 has 120 divisors (see below), whose sum is σ = 123776800. Its totient is φ = 10068480.

The previous prime is 38197171. The next prime is 38197213. The reversal of 38197200 is 279183.

It is a happy number.

38197200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (30).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 166686 + ... + 166914.

Almost surely, 2^38197200 is an apocalyptic number.

38197200 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 38197200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61888400).

38197200 is an abundant number, since it is smaller than the sum of its proper divisors (85579600).

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

38197200 is a wasteful number, since it uses less digits than its factorization.

38197200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 38197200 is about 6180.3883373134. The cubic root of 38197200 is about 336.7781003320.

The spelling of 38197200 in words is "thirty-eight million, one hundred ninety-seven thousand, two hundred".