38679040 has 80 divisors (see below), whose sum is σ = 96121080. Its totient is φ = 14909440.

The previous prime is 38679013. The next prime is 38679083. The reversal of 38679040 is 4097683.

It can be written as a sum of positive squares in 4 ways, for example, as 27709696 + 10969344 = 5264^2 + 3312^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73980 + ... + 74500.

Almost surely, 2^38679040 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 38679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48060540).

38679040 is an abundant number, since it is smaller than the sum of its proper divisors (57442040).

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

38679040 is an equidigital number, since it uses as much as digits as its factorization.

38679040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 38679040 is about 6219.2475429106. The cubic root of 38679040 is about 338.1882871892.

The spelling of 38679040 in words is "thirty-eight million, six hundred seventy-nine thousand, forty".