38683040 has 96 divisors (see below), whose sum is σ = 103057920. Its totient is φ = 13593600.

The previous prime is 38683037. The next prime is 38683081. The reversal of 38683040 is 4038683.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 38682988 and 38683006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54206 + ... + 54914.

It is an arithmetic number, because the mean of its divisors is an integer number (1073520).

Almost surely, 2^38683040 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 38683040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51528960).

38683040 is an abundant number, since it is smaller than the sum of its proper divisors (64374880).

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

38683040 is a wasteful number, since it uses less digits than its factorization.

38683040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 38683040 is about 6219.5691169083. The cubic root of 38683040 is about 338.1999447219.

The spelling of 38683040 in words is "thirty-eight million, six hundred eighty-three thousand, forty".