38808540 has 72 divisors (see below), whose sum is σ = 118591200. Its totient is φ = 10272384.

The previous prime is 38808527. The next prime is 38808541. The reversal of 38808540 is 4580883.

38808540 is a `hidden beast` number, since 38 + 80 + 8 + 540 = 666.

It is a super-2 number, since 2×38808540² = 3012205553863200, which contains 22 as substring.

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 = 38808495 and 38808504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38808541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26097 + ... + 27543.

It is an arithmetic number, because the mean of its divisors is an integer number (1647100).

Almost surely, 2^38808540 is an apocalyptic number.

38808540 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 38808540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59295600).

38808540 is an abundant number, since it is smaller than the sum of its proper divisors (79782660).

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

38808540 is a wasteful number, since it uses less digits than its factorization.

38808540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 38808540 is about 6229.6500704293. The cubic root of 38808540 is about 338.5652923862.

The spelling of 38808540 in words is "thirty-eight million, eight hundred eight thousand, five hundred forty".