38933856 has 72 divisors (see below), whose sum is σ = 119246400. Its totient is φ = 11978496.

The previous prime is 38933837. The next prime is 38933891. The reversal of 38933856 is 65833983.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1456 + ... + 8943.

It is an arithmetic number, because the mean of its divisors is an integer number (1656200).

Almost surely, 2^38933856 is an apocalyptic number.

38933856 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 38933856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59623200).

38933856 is an abundant number, since it is smaller than the sum of its proper divisors (80312544).

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

38933856 is a wasteful number, since it uses less digits than its factorization.

38933856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10428 (or 10417 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 38933856 is about 6239.6999927881. The cubic root of 38933856 is about 338.9293193285.

The spelling of 38933856 in words is "thirty-eight million, nine hundred thirty-three thousand, eight hundred fifty-six".