38331864 has 48 divisors (see below), whose sum is σ = 104507520. Its totient is φ = 12692160.

The previous prime is 38331863. The next prime is 38331907. The reversal of 38331864 is 46813383.

It is a happy number.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38331863) 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, 9609 + ... + 12999.

It is an arithmetic number, because the mean of its divisors is an integer number (2177240).

Almost surely, 2^38331864 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 38331864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52253760).

38331864 is an abundant number, since it is smaller than the sum of its proper divisors (66175656).

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

38331864 is a wasteful number, since it uses less digits than its factorization.

38331864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3560 (or 3553 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 38331864 is about 6191.2732131606. The cubic root of 38331864 is about 337.1734058720.

The spelling of 38331864 in words is "thirty-eight million, three hundred thirty-one thousand, eight hundred sixty-four".