38381832 has 48 divisors (see below), whose sum is σ = 104532480. Its totient is φ = 12722400.

The previous prime is 38381831. The next prime is 38381851. The reversal of 38381832 is 23818383.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38381831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12357 + ... + 15147.

It is an arithmetic number, because the mean of its divisors is an integer number (2177760).

Almost surely, 2^38381832 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 38381832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52266240).

38381832 is an abundant number, since it is smaller than the sum of its proper divisors (66150648).

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

38381832 is a wasteful number, since it uses less digits than its factorization.

38381832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2987 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 38381832 is about 6195.3072563030. The cubic root of 38381832 is about 337.3198511834.

It can be divided in two parts, 383 and 81832, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 38381832 in words is "thirty-eight million, three hundred eighty-one thousand, eight hundred thirty-two".