38513856 has 56 divisors (see below), whose sum is σ = 105430320. Its totient is φ = 12393472.

The previous prime is 38513837. The next prime is 38513897. The reversal of 38513856 is 65831583.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 2110 + ... + 9026.

Almost surely, 2^38513856 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 38513856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52715160).

38513856 is an abundant number, since it is smaller than the sum of its proper divisors (66916464).

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

38513856 is a wasteful number, since it uses less digits than its factorization.

38513856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6961 (or 6951 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 38513856 is about 6205.9532708521. The cubic root of 38513856 is about 337.7061741625.

It can be divided in two parts, 385 and 13856, that added together give a palindrome (14241).

The spelling of 38513856 in words is "thirty-eight million, five hundred thirteen thousand, eight hundred fifty-six".