38020368 has 80 divisors (see below), whose sum is σ = 105707520. Its totient is φ = 11737728.

The previous prime is 38020361. The next prime is 38020369. The reversal of 38020368 is 86302083.

It is a super-3 number, since 3×38020368³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38020361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42421 + ... + 43307.

It is an arithmetic number, because the mean of its divisors is an integer number (1321344).

Almost surely, 2^38020368 is an apocalyptic number.

38020368 is a gapful number since it is divisible by the number (38) 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 38020368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52853760).

38020368 is an abundant number, since it is smaller than the sum of its proper divisors (67687152).

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

38020368 is a wasteful number, since it uses less digits than its factorization.

38020368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 38020368 is about 6166.0658446046. The cubic root of 38020368 is about 336.2575972450.

The spelling of 38020368 in words is "thirty-eight million, twenty thousand, three hundred sixty-eight".