38590240 has 48 divisors (see below), whose sum is σ = 98187768. Its totient is φ = 14247936.

The previous prime is 38590231. The next prime is 38590249. The reversal of 38590240 is 4209583.

It is an interprime number because it is at equal distance from previous prime (38590231) and next prime (38590249).

It can be written as a sum of positive squares in 4 ways, for example, as 14107536 + 24482704 = 3756^2 + 4948^2 .

It is not an unprimeable number, because it can be changed into a prime (38590249) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7197 + ... + 11356.

Almost surely, 2^38590240 is an apocalyptic number.

It is an amenable number.

38590240 is an abundant number, since it is smaller than the sum of its proper divisors (59597528).

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

38590240 is a wasteful number, since it uses less digits than its factorization.

38590240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18581 (or 18573 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 38590240 is about 6212.1043133547. The cubic root of 38590240 is about 337.9292827323.

The spelling of 38590240 in words is "thirty-eight million, five hundred ninety thousand, two hundred forty".