38313920 has 56 divisors (see below), whose sum is σ = 96615504. Its totient is φ = 14422016.

The previous prime is 38313911. The next prime is 38313941. The reversal of 38313920 is 2931383.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 8.

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 7 ways as a sum of consecutive naturals, for example, 1919 + ... + 8961.

Almost surely, 2^38313920 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 38313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48307752).

38313920 is an abundant number, since it is smaller than the sum of its proper divisors (58301584).

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

38313920 is a wasteful number, since it uses less digits than its factorization.

38313920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7077 (or 7067 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 38313920 is about 6189.8239070268. The cubic root of 38313920 is about 337.1207848643.

The spelling of 38313920 in words is "thirty-eight million, three hundred thirteen thousand, nine hundred twenty".