38503020 has 48 divisors (see below), whose sum is σ = 109186560. Its totient is φ = 10136256.

The previous prime is 38503013. The next prime is 38503027. The reversal of 38503020 is 2030583.

It is an interprime number because it is at equal distance from previous prime (38503013) and next prime (38503027).

It is not an unprimeable number, because it can be changed into a prime (38503027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 679 + ... + 8801.

It is an arithmetic number, because the mean of its divisors is an integer number (2274720).

Almost surely, 2^38503020 is an apocalyptic number.

38503020 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 38503020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54593280).

38503020 is an abundant number, since it is smaller than the sum of its proper divisors (70683540).

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

38503020 is a wasteful number, since it uses less digits than its factorization.

38503020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8214 (or 8212 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 38503020 is about 6205.0801767584. The cubic root of 38503020 is about 337.6744996110.

The spelling of 38503020 in words is "thirty-eight million, five hundred three thousand, twenty".