38285640 has 48 divisors (see below), whose sum is σ = 124429500. Its totient is φ = 10209408.

The previous prime is 38285633. The next prime is 38285647. The reversal of 38285640 is 4658283.

38285640 is a `hidden beast` number, since 3 + 8 + 2 + 8 + 5 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (38285633) and next prime (38285647).

It can be written as a sum of positive squares in 2 ways, for example, as 38266596 + 19044 = 6186^2 + 138^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38285595 and 38285604.

It is not an unprimeable number, because it can be changed into a prime (38285647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52815 + ... + 53534.

Almost surely, 2^38285640 is an apocalyptic number.

38285640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38285640 is an abundant number, since it is smaller than the sum of its proper divisors (86143860).

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

38285640 is a wasteful number, since it uses less digits than its factorization.

38285640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106366 (or 106359 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 38285640 is about 6187.5390907856. The cubic root of 38285640 is about 337.0378200444.

The spelling of 38285640 in words is "thirty-eight million, two hundred eighty-five thousand, six hundred forty".