38673768 has 64 divisors (see below), whose sum is σ = 111121920. Its totient is φ = 10987200.

The previous prime is 38673757. The next prime is 38673773. The reversal of 38673768 is 86737683.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34903 + ... + 35993.

It is an arithmetic number, because the mean of its divisors is an integer number (1736280).

Almost surely, 2^38673768 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 38673768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55560960).

38673768 is an abundant number, since it is smaller than the sum of its proper divisors (72448152).

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

38673768 is a wasteful number, since it uses less digits than its factorization.

38673768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1314 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 38673768 is about 6218.8236829806. The cubic root of 38673768 is about 338.1729213333.

The spelling of 38673768 in words is "thirty-eight million, six hundred seventy-three thousand, seven hundred sixty-eight".