38117088 has 96 divisors (see below), whose sum is σ = 112281120. Its totient is φ = 12579840.

The previous prime is 38117083. The next prime is 38117089. The reversal of 38117088 is 88071183.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (38117083) 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, 135508 + ... + 135788.

It is an arithmetic number, because the mean of its divisors is an integer number (1169595).

Almost surely, 2^38117088 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 38117088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56140560).

38117088 is an abundant number, since it is smaller than the sum of its proper divisors (74164032).

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

38117088 is a wasteful number, since it uses less digits than its factorization.

38117088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 38117088 is about 6173.9037893378. The cubic root of 38117088 is about 336.5424909932.

The spelling of 38117088 in words is "thirty-eight million, one hundred seventeen thousand, eighty-eight".