38006280 has 128 divisors (see below), whose sum is σ = 136483200. Its totient is φ = 9351936.

The previous prime is 38006273. The next prime is 38006317. The reversal of 38006280 is 8260083.

38006280 is a `hidden beast` number, since 38 + 0 + 0 + 628 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12687 + ... + 15393.

It is an arithmetic number, because the mean of its divisors is an integer number (1066275).

Almost surely, 2^38006280 is an apocalyptic number.

38006280 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 38006280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68241600).

38006280 is an abundant number, since it is smaller than the sum of its proper divisors (98476920).

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

38006280 is a wasteful number, since it uses less digits than its factorization.

38006280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 38006280 is about 6164.9233571878. The cubic root of 38006280 is about 336.2160600155.

The spelling of 38006280 in words is "thirty-eight million, six thousand, two hundred eighty".