38286240 has 144 divisors (see below), whose sum is σ = 126118944. Its totient is φ = 9761280.

The previous prime is 38286229. The next prime is 38286257. The reversal of 38286240 is 4268283.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 461239 + ... + 461321.

It is an arithmetic number, because the mean of its divisors is an integer number (875826).

Almost surely, 2^38286240 is an apocalyptic number.

38286240 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 38286240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63059472).

38286240 is an abundant number, since it is smaller than the sum of its proper divisors (87832704).

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

38286240 is a wasteful number, since it uses less digits than its factorization.

38286240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 38286240 is about 6187.5875751378. The cubic root of 38286240 is about 337.0395806839.

The spelling of 38286240 in words is "thirty-eight million, two hundred eighty-six thousand, two hundred forty".