38933920 has 48 divisors (see below), whose sum is σ = 94137120. Its totient is φ = 15208704.

The previous prime is 38933911. The next prime is 38933933. The reversal of 38933920 is 2933983.

It is a self number, because there is not a number n which added to its sum of digits gives 38933920.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4051 + ... + 9709.

It is an arithmetic number, because the mean of its divisors is an integer number (1961190).

Almost surely, 2^38933920 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 38933920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47068560).

38933920 is an abundant number, since it is smaller than the sum of its proper divisors (55203200).

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

38933920 is a wasteful number, since it uses less digits than its factorization.

38933920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5717 (or 5709 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The square root of 38933920 is about 6239.7051212377. The cubic root of 38933920 is about 338.9295050406.

The spelling of 38933920 in words is "thirty-eight million, nine hundred thirty-three thousand, nine hundred twenty".