38192952200 has 108 divisors (see below), whose sum is σ = 96245253135. Its totient is φ = 14088746880.

The previous prime is 38192952173. The next prime is 38192952209. The reversal of 38192952200 is 225929183.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 2391014404 + 35801937796 = 48898^2 + 189214^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=138190.

It is not an unprimeable number, because it can be changed into a prime (38192952209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35928869 + ... + 35929931.

Almost surely, 2^38192952200 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 38192952200

38192952200 is an abundant number, since it is smaller than the sum of its proper divisors (58052300935).

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

38192952200 is a wasteful number, since it uses less digits than its factorization.

38192952200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The spelling of 38192952200 in words is "thirty-eight billion, one hundred ninety-two million, nine hundred fifty-two thousand, two hundred".