38289888 has 192 divisors, whose sum is σ = 137733120. Its totient is φ = 10077696.

The previous prime is 38289833. The next prime is 38289893. The reversal of 38289888 is 88898283.

It is a super-2 number, since 2×38289888² = 2932231046105088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (1769472) is a multiple of the sum of its prime divisors (512).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78381 + ... + 78867.

It is an arithmetic number, because the mean of its divisors is an integer number (717360).

Almost surely, 2^38289888 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 38289888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68866560).

38289888 is an abundant number, since it is smaller than the sum of its proper divisors (99443232).

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

38289888 is a wasteful number, since it uses less digits than its factorization.

38289888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 512 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The square root of 38289888 is about 6187.8823518228. The cubic root of 38289888 is about 337.0502849765.

The spelling of 38289888 in words is "thirty-eight million, two hundred eighty-nine thousand, eight hundred eighty-eight".