38440968 has 48 divisors (see below), whose sum is σ = 98849520. Its totient is φ = 12450816.

The previous prime is 38440949. The next prime is 38440991. The reversal of 38440968 is 86904483.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199080 + ... + 199272.

It is an arithmetic number, because the mean of its divisors is an integer number (2059365).

Almost surely, 2^38440968 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 38440968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49424760).

38440968 is an abundant number, since it is smaller than the sum of its proper divisors (60408552).

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

38440968 is a wasteful number, since it uses less digits than its factorization.

38440968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 38440968 is about 6200.0780640247. The cubic root of 38440968 is about 337.4930017753.

The spelling of 38440968 in words is "thirty-eight million, four hundred forty thousand, nine hundred sixty-eight".