38348688 has 80 divisors (see below), whose sum is σ = 119198720. Its totient is φ = 10378368.

The previous prime is 38348677. The next prime is 38348689. The reversal of 38348688 is 88684383.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 (38348689) 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, 3381 + ... + 9387.

It is an arithmetic number, because the mean of its divisors is an integer number (1489984).

Almost surely, 2^38348688 is an apocalyptic number.

38348688 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38348688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59599360).

38348688 is an abundant number, since it is smaller than the sum of its proper divisors (80850032).

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

38348688 is a wasteful number, since it uses less digits than its factorization.

38348688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6044 (or 6038 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 38348688 is about 6192.6317507179. The cubic root of 38348688 is about 337.2227275510. Note that the first 3 decimals are identical.

The spelling of 38348688 in words is "thirty-eight million, three hundred forty-eight thousand, six hundred eighty-eight".