38641920 has 144 divisors (see below), whose sum is σ = 128036160. Its totient is φ = 9920512.

The previous prime is 38641919. The next prime is 38641927. The reversal of 38641920 is 2914683.

It is not an unprimeable number, because it can be changed into a prime (38641927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111187 + ... + 111533.

It is an arithmetic number, because the mean of its divisors is an integer number (889140).

Almost surely, 2^38641920 is an apocalyptic number.

38641920 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 38641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64018080).

38641920 is an abundant number, since it is smaller than the sum of its proper divisors (89394240).

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

38641920 is a wasteful number, since it uses less digits than its factorization.

38641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 38641920 is about 6216.2625427181. The cubic root of 38641920 is about 338.0800669299.

The spelling of 38641920 in words is "thirty-eight million, six hundred forty-one thousand, nine hundred twenty".