38607840 has 168 divisors, whose sum is σ = 137167128. Its totient is φ = 10264320.

The previous prime is 38607827. The next prime is 38607871. The reversal of 38607840 is 4870683.

38607840 is a `hidden beast` number, since 3 + 8 + 607 + 8 + 40 = 666.

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 = 38607795 and 38607804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 116475 + ... + 116805.

It is an arithmetic number, because the mean of its divisors is an integer number (816471).

Almost surely, 2^38607840 is an apocalyptic number.

38607840 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 38607840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68583564).

38607840 is an abundant number, since it is smaller than the sum of its proper divisors (98559288).

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

38607840 is an equidigital number, since it uses as much as digits as its factorization.

38607840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 38607840 is about 6213.5207410936. The cubic root of 38607840 is about 337.9806484959.

The spelling of 38607840 in words is "thirty-eight million, six hundred seven thousand, eight hundred forty".