38079328 has 48 divisors (see below), whose sum is σ = 86365440. Its totient is φ = 16189056.

The previous prime is 38079317. The next prime is 38079341. The reversal of 38079328 is 82397083.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30525 + ... + 31747.

It is an arithmetic number, because the mean of its divisors is an integer number (1799280).

Almost surely, 2^38079328 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 38079328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43182720).

38079328 is an abundant number, since it is smaller than the sum of its proper divisors (48286112).

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

38079328 is a wasteful number, since it uses less digits than its factorization.

38079328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 38079328 is about 6170.8449988636. The cubic root of 38079328 is about 336.4313243773.

The spelling of 38079328 in words is "thirty-eight million, seventy-nine thousand, three hundred twenty-eight".