38348960 has 96 divisors (see below), whose sum is σ = 99066240. Its totient is φ = 13943808.

The previous prime is 38348941. The next prime is 38348963. The reversal of 38348960 is 6984383.

It is not an unprimeable number, because it can be changed into a prime (38348963) 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, 214151 + ... + 214329.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 2^38348960 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 38348960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49533120).

38348960 is an abundant number, since it is smaller than the sum of its proper divisors (60717280).

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

38348960 is a wasteful number, since it uses less digits than its factorization.

38348960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 38348960 is about 6192.6537122626. The cubic root of 38348960 is about 337.2235248348.

The spelling of 38348960 in words is "thirty-eight million, three hundred forty-eight thousand, nine hundred sixty".