38332416 has 96 divisors (see below), whose sum is σ = 108501120. Its totient is φ = 11993088.

The previous prime is 38332391. The next prime is 38332423. The reversal of 38332416 is 61423383.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104265 + ... + 104631.

It is an arithmetic number, because the mean of its divisors is an integer number (1130220).

Almost surely, 2^38332416 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 38332416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54250560).

38332416 is an abundant number, since it is smaller than the sum of its proper divisors (70168704).

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

38332416 is a wasteful number, since it uses less digits than its factorization.

38332416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 389 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 38332416 is about 6191.3177918760. The cubic root of 38332416 is about 337.1750243586.

Adding to 38332416 its reverse (61423383), we get a palindrome (99755799).

The spelling of 38332416 in words is "thirty-eight million, three hundred thirty-two thousand, four hundred sixteen".