38976240 has 160 divisors (see below), whose sum is σ = 131616576. Its totient is φ = 9502720.

The previous prime is 38976229. The next prime is 38976241. The reversal of 38976240 is 4267983.

38976240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38976241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 167164 + ... + 167396.

Almost surely, 2^38976240 is an apocalyptic number.

38976240 is a gapful number since it is divisible by the number (30) 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 38976240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65808288).

38976240 is an abundant number, since it is smaller than the sum of its proper divisors (92640336).

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

38976240 is a wasteful number, since it uses less digits than its factorization.

38976240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 38976240 is about 6243.0953861046. The cubic root of 38976240 is about 339.0522626327.

The spelling of 38976240 in words is "thirty-eight million, nine hundred seventy-six thousand, two hundred forty".