38922336 has 96 divisors (see below), whose sum is σ = 119548800. Its totient is φ = 12286080.

The previous prime is 38922311. The next prime is 38922337. The reversal of 38922336 is 63322983.

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

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 self number, because there is not a number n which added to its sum of digits gives 38922336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38922337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15231 + ... + 17601.

It is an arithmetic number, because the mean of its divisors is an integer number (1245300).

Almost surely, 2^38922336 is an apocalyptic number.

38922336 is a gapful number since it is divisible by the number (36) 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 38922336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59774400).

38922336 is an abundant number, since it is smaller than the sum of its proper divisors (80626464).

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

38922336 is a wasteful number, since it uses less digits than its factorization.

38922336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409 (or 2395 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 38922336 is about 6238.7768031883. The cubic root of 38922336 is about 338.8958878346.

The spelling of 38922336 in words is "thirty-eight million, nine hundred twenty-two thousand, three hundred thirty-six".