38006240 has 48 divisors (see below), whose sum is σ = 92897280. Its totient is φ = 14676480.

The previous prime is 38006179. The next prime is 38006257. The reversal of 38006240 is 4260083.

It is a happy number.

38006240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 545 + ... + 8735.

It is an arithmetic number, because the mean of its divisors is an integer number (1935360).

Almost surely, 2^38006240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38006240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46448640).

38006240 is an abundant number, since it is smaller than the sum of its proper divisors (54891040).

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

38006240 is a wasteful number, since it uses less digits than its factorization.

38006240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8235 (or 8227 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 38006240 is about 6164.9201130266. The cubic root of 38006240 is about 336.2159420644.

The spelling of 38006240 in words is "thirty-eight million, six thousand, two hundred forty".