38329760 has 72 divisors (see below), whose sum is σ = 105359940. Its totient is φ = 13138944.

The previous prime is 38329757. The next prime is 38329771. The reversal of 38329760 is 6792383.

It can be written as a sum of positive squares in 2 ways, for example, as 38291344 + 38416 = 6188^2 + 196^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5396 + ... + 10284.

Almost surely, 2^38329760 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 38329760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52679970).

38329760 is an abundant number, since it is smaller than the sum of its proper divisors (67030180).

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

38329760 is a wasteful number, since it uses less digits than its factorization.

38329760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4918 (or 4903 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 38329760 is about 6191.1032942441. The cubic root of 38329760 is about 337.1672367153.

The spelling of 38329760 in words is "thirty-eight million, three hundred twenty-nine thousand, seven hundred sixty".