38442768 has 120 divisors (see below), whose sum is σ = 123081408. Its totient is φ = 10123776.

The previous prime is 38442751. The next prime is 38442779. The reversal of 38442768 is 86724483.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 23 ways as a sum of consecutive naturals, for example, 56446 + ... + 57122.

Almost surely, 2^38442768 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 38442768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61540704).

38442768 is an abundant number, since it is smaller than the sum of its proper divisors (84638640).

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

38442768 is a wasteful number, since it uses less digits than its factorization.

38442768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 702 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 38442768 is about 6200.2232217881. The cubic root of 38442768 is about 337.4982694013.

The spelling of 38442768 in words is "thirty-eight million, four hundred forty-two thousand, seven hundred sixty-eight".