38478816 has 144 divisors (see below), whose sum is σ = 118014624. Its totient is φ = 11860992.

The previous prime is 38478799. The next prime is 38478821. The reversal of 38478816 is 61887483.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 245010 + ... + 245166.

It is an arithmetic number, because the mean of its divisors is an integer number (819546).

Almost surely, 2^38478816 is an apocalyptic number.

38478816 is a gapful number since it is divisible by the number (36) 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 38478816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59007312).

38478816 is an abundant number, since it is smaller than the sum of its proper divisors (79535808).

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

38478816 is a wasteful number, since it uses less digits than its factorization.

38478816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 222 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 38478816 is about 6203.1295327439. The cubic root of 38478816 is about 337.6037277877.

The spelling of 38478816 in words is "thirty-eight million, four hundred seventy-eight thousand, eight hundred sixteen".