38993920 has 136 divisors (see below), whose sum is σ = 113245344. Its totient is φ = 12582912.

The previous prime is 38993917. The next prime is 38993921. The reversal of 38993920 is 2939983.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (136).

It is not an unprimeable number, because it can be changed into a prime (38993921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2293752 + ... + 2293768.

Almost surely, 2^38993920 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 38993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56622672).

38993920 is an abundant number, since it is smaller than the sum of its proper divisors (74251424).

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

38993920 is an frugal number, since it uses more digits than its factorization.

38993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 43.

The square root of 38993920 is about 6244.5111898370. The cubic root of 38993920 is about 339.1035206799.

The spelling of 38993920 in words is "thirty-eight million, nine hundred ninety-three thousand, nine hundred twenty".