38878320 has 160 divisors (see below), whose sum is σ = 137616192. Its totient is φ = 8994816.

The previous prime is 38878319. The next prime is 38878327. The reversal of 38878320 is 2387883.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38878327) 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 31 ways as a sum of consecutive naturals, for example, 52674 + ... + 53406.

Almost surely, 2^38878320 is an apocalyptic number.

38878320 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 38878320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68808096).

38878320 is an abundant number, since it is smaller than the sum of its proper divisors (98737872).

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

38878320 is a wasteful number, since it uses less digits than its factorization.

38878320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 38878320 is about 6235.2481907299. The cubic root of 38878320 is about 338.7680908808.

The spelling of 38878320 in words is "thirty-eight million, eight hundred seventy-eight thousand, three hundred twenty".