38193800 has 108 divisors (see below), whose sum is σ = 97972245. Its totient is φ = 13844160.

The previous prime is 38193787. The next prime is 38193803. The reversal of 38193800 is 839183.

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 2 ways, for example, as 37429924 + 763876 = 6118^2 + 874^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4370.

It is not an unprimeable number, because it can be changed into a prime (38193803) 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, 1660589 + ... + 1660611.

Almost surely, 2^38193800 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 38193800

38193800 is an abundant number, since it is smaller than the sum of its proper divisors (59778445).

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

38193800 is a wasteful number, since it uses less digits than its factorization.

38193800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 38193800 is about 6180.1132675704. The cubic root of 38193800 is about 336.7681076317.

Multiplying 38193800 by its sum of digits (32), we get a square (1222201600 = 34960²).

The spelling of 38193800 in words is "thirty-eight million, one hundred ninety-three thousand, eight hundred".