38318640 has 80 divisors (see below), whose sum is σ = 120611328. Its totient is φ = 10061568.

The previous prime is 38318617. The next prime is 38318647. The reversal of 38318640 is 4681383.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (38318647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14889 + ... + 17271.

Almost surely, 2^38318640 is an apocalyptic number.

38318640 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 38318640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60305664).

38318640 is an abundant number, since it is smaller than the sum of its proper divisors (82292688).

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

38318640 is a wasteful number, since it uses less digits than its factorization.

38318640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 38318640 is about 6190.2051662283. The cubic root of 38318640 is about 337.1346279164.

The spelling of 38318640 in words is "thirty-eight million, three hundred eighteen thousand, six hundred forty".