38102688 has 72 divisors (see below), whose sum is σ = 116700948. Its totient is φ = 11722752.

The previous prime is 38102683. The next prime is 38102737. The reversal of 38102688 is 88620183.

It can be written as a sum of positive squares in 2 ways, for example, as 37601424 + 501264 = 6132^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38102681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1345 + ... + 8832.

Almost surely, 2^38102688 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 38102688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58350474).

38102688 is an abundant number, since it is smaller than the sum of its proper divisors (78598260).

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

38102688 is a wasteful number, since it uses less digits than its factorization.

38102688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10206 (or 10195 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 38102688 is about 6172.7374802433. The cubic root of 38102688 is about 336.5001056089.

The spelling of 38102688 in words is "thirty-eight million, one hundred two thousand, six hundred eighty-eight".