38320960 has 56 divisors (see below), whose sum is σ = 94219776. Its totient is φ = 14830080.

The previous prime is 38320957. The next prime is 38320969. The reversal of 38320960 is 6902383.

It is a happy number.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38320969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7989 + ... + 11851.

It is an arithmetic number, because the mean of its divisors is an integer number (1682496).

Almost surely, 2^38320960 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 38320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47109888).

38320960 is an abundant number, since it is smaller than the sum of its proper divisors (55898816).

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

38320960 is a wasteful number, since it uses less digits than its factorization.

38320960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3911 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 38320960 is about 6190.3925562116. The cubic root of 38320960 is about 337.1414317117.

The spelling of 38320960 in words is "thirty-eight million, three hundred twenty thousand, nine hundred sixty".