38331072 has 84 divisors (see below), whose sum is σ = 118343680. Its totient is φ = 11791872.

The previous prime is 38331047. The next prime is 38331077. The reversal of 38331072 is 27013383.

It is not an unprimeable number, because it can be changed into a prime (38331077) 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, 4929 + ... + 10047.

Almost surely, 2^38331072 is an apocalyptic number.

38331072 is a gapful number since it is divisible by the number (32) 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 38331072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59171840).

38331072 is an abundant number, since it is smaller than the sum of its proper divisors (80012608).

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

38331072 is a wasteful number, since it uses less digits than its factorization.

38331072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5150 (or 5137 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 38331072 is about 6191.2092518344. The cubic root of 38331072 is about 337.1710836684.

The spelling of 38331072 in words is "thirty-eight million, three hundred thirty-one thousand, seventy-two".