38222688 has 96 divisors (see below), whose sum is σ = 119702016. Its totient is φ = 10441728.

The previous prime is 38222677. The next prime is 38222689. The reversal of 38222688 is 88622283.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38222689) 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, 14220 + ... + 16692.

It is an arithmetic number, because the mean of its divisors is an integer number (1246896).

Almost surely, 2^38222688 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 38222688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59851008).

38222688 is an abundant number, since it is smaller than the sum of its proper divisors (81479328).

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

38222688 is a wasteful number, since it uses less digits than its factorization.

38222688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516 (or 2508 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 38222688 is about 6182.4499997978. The cubic root of 38222688 is about 336.8529914382.

The spelling of 38222688 in words is "thirty-eight million, two hundred twenty-two thousand, six hundred eighty-eight".