38399712 has 96 divisors (see below), whose sum is σ = 112402080. Its totient is φ = 11397120.

The previous prime is 38399707. The next prime is 38399743. The reversal of 38399712 is 21799383.

38399712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35662 + ... + 36722.

It is an arithmetic number, because the mean of its divisors is an integer number (1170855).

Almost surely, 2^38399712 is an apocalyptic number.

38399712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38399712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56201040).

38399712 is an abundant number, since it is smaller than the sum of its proper divisors (74002368).

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

38399712 is a wasteful number, since it uses less digits than its factorization.

38399712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1108 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 38399712 is about 6196.7501159882. The cubic root of 38399712 is about 337.3722226859.

The spelling of 38399712 in words is "thirty-eight million, three hundred ninety-nine thousand, seven hundred twelve".