38880006 has 32 divisors (see below), whose sum is σ = 85795200. Its totient is φ = 11647680.

The previous prime is 38879999. The next prime is 38880029. The reversal of 38880006 is 60008883.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2565 + ... + 9183.

It is an arithmetic number, because the mean of its divisors is an integer number (2681100).

Almost surely, 2^38880006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38880006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42897600).

38880006 is an abundant number, since it is smaller than the sum of its proper divisors (46915194).

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

38880006 is a wasteful number, since it uses less digits than its factorization.

38880006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6724.

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 38880006 is about 6235.3833883732. The cubic root of 38880006 is about 338.7729878238.

Adding to 38880006 its reverse (60008883), we get a palindrome (98888889).

The spelling of 38880006 in words is "thirty-eight million, eight hundred eighty thousand, six".