38198952 has 160 divisors (see below), whose sum is σ = 122316480. Its totient is φ = 11024640.

The previous prime is 38198939. The next prime is 38198957. The reversal of 38198952 is 25989183.

It is a happy number.

38198952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 38198898 and 38198907.

It is not an unprimeable number, because it can be changed into a prime (38198957) 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 39 ways as a sum of consecutive naturals, for example, 163828 + ... + 164060.

It is an arithmetic number, because the mean of its divisors is an integer number (764478).

Almost surely, 2^38198952 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 38198952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61158240).

38198952 is an abundant number, since it is smaller than the sum of its proper divisors (84117528).

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

38198952 is a wasteful number, since it uses less digits than its factorization.

38198952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 272 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 38198952 is about 6180.5300743545. The cubic root of 38198952 is about 336.7832492802.

The spelling of 38198952 in words is "thirty-eight million, one hundred ninety-eight thousand, nine hundred fifty-two".