38579856 has 120 divisors (see below), whose sum is σ = 118742400. Its totient is φ = 10757376.

The previous prime is 38579819. The next prime is 38579857. The reversal of 38579856 is 65897583.

It is a junction number, because it is equal to n+sod(n) for n = 38579799 and 38579808.

It is not an unprimeable number, because it can be changed into a prime (38579857) 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 23 ways as a sum of consecutive naturals, for example, 110370 + ... + 110718.

It is an arithmetic number, because the mean of its divisors is an integer number (989520).

Almost surely, 2^38579856 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 38579856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59371200).

38579856 is an abundant number, since it is smaller than the sum of its proper divisors (80162544).

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

38579856 is a wasteful number, since it uses less digits than its factorization.

38579856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 408 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 51.

The square root of 38579856 is about 6211.2684694835. The cubic root of 38579856 is about 337.8989696060.

The spelling of 38579856 in words is "thirty-eight million, five hundred seventy-nine thousand, eight hundred fifty-six".