38838960 has 80 divisors (see below), whose sum is σ = 133786080. Its totient is φ = 10356480.

The previous prime is 38838959. The next prime is 38838971. The reversal of 38838960 is 6983883.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 6831 + ... + 11150.

It is an arithmetic number, because the mean of its divisors is an integer number (1672326).

Almost surely, 2^38838960 is an apocalyptic number.

38838960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38838960 is an abundant number, since it is smaller than the sum of its proper divisors (94947120).

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

38838960 is a wasteful number, since it uses less digits than its factorization.

38838960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18003 (or 17991 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 38838960 is about 6232.0911418239. The cubic root of 38838960 is about 338.6537305356.

The spelling of 38838960 in words is "thirty-eight million, eight hundred thirty-eight thousand, nine hundred sixty".