38009832 has 64 divisors (see below), whose sum is σ = 110409600. Its totient is φ = 10679040.

The previous prime is 38009831. The next prime is 38009849. The reversal of 38009832 is 23890083.

It is a junction number, because it is equal to n+sod(n) for n = 38009793 and 38009802.

It is not an unprimeable number, because it can be changed into a prime (38009831) 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, 8394 + ... + 12102.

It is an arithmetic number, because the mean of its divisors is an integer number (1725150).

Almost surely, 2^38009832 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 38009832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55204800).

38009832 is an abundant number, since it is smaller than the sum of its proper divisors (72399768).

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

38009832 is a wasteful number, since it uses less digits than its factorization.

38009832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 38009832 is about 6165.2114318975. The cubic root of 38009832 is about 336.2265337428.

The spelling of 38009832 in words is "thirty-eight million, nine thousand, eight hundred thirty-two".