38976320 has 42 divisors (see below), whose sum is σ = 93079062. Its totient is φ = 15545856.

The previous prime is 38976317. The next prime is 38976323. The reversal of 38976320 is 2367983.

It is an interprime number because it is at equal distance from previous prime (38976317) and next prime (38976323).

It can be written as a sum of positive squares in 3 ways, for example, as 11182336 + 27793984 = 3344^2 + 5272^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38976323) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 111506 + ... + 111854.

Almost surely, 2^38976320 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 38976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46539531).

38976320 is an abundant number, since it is smaller than the sum of its proper divisors (54102742).

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

38976320 is an frugal number, since it uses more digits than its factorization.

38976320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 356 counting only the distinct ones).

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

The square root of 38976320 is about 6243.1017931794. The cubic root of 38976320 is about 339.0524946045.

The spelling of 38976320 in words is "thirty-eight million, nine hundred seventy-six thousand, three hundred twenty".