38332896 has 144 divisors (see below), whose sum is σ = 121519440. Its totient is φ = 10536960.

The previous prime is 38332891. The next prime is 38332901. The reversal of 38332896 is 69823383.

It is an interprime number because it is at equal distance from previous prime (38332891) and next prime (38332901).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38332891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136276 + ... + 136556.

It is an arithmetic number, because the mean of its divisors is an integer number (843885).

Almost surely, 2^38332896 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 38332896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60759720).

38332896 is an abundant number, since it is smaller than the sum of its proper divisors (83186544).

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

38332896 is a wasteful number, since it uses less digits than its factorization.

38332896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 322 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 38332896 is about 6191.3565557154. The cubic root of 38332896 is about 337.1764317256.

The spelling of 38332896 in words is "thirty-eight million, three hundred thirty-two thousand, eight hundred ninety-six".