38112288 has 96 divisors (see below), whose sum is σ = 107194752. Its totient is φ = 11827200.

The previous prime is 38112287. The next prime is 38112313. The reversal of 38112288 is 88221183.

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 not an unprimeable number, because it can be changed into a prime (38112287) 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, 90318 + ... + 90738.

It is an arithmetic number, because the mean of its divisors is an integer number (1116612).

Almost surely, 2^38112288 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 38112288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53597376).

38112288 is an abundant number, since it is smaller than the sum of its proper divisors (69082464).

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

38112288 is a wasteful number, since it uses less digits than its factorization.

38112288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 490 counting only the distinct ones).

The product of its digits is 6144, while the sum is 33.

The square root of 38112288 is about 6173.5150441219. The cubic root of 38112288 is about 336.5283637180.

The spelling of 38112288 in words is "thirty-eight million, one hundred twelve thousand, two hundred eighty-eight".