938775840 has 96 divisors (see below), whose sum is σ = 3037124160. Its totient is φ = 243569664.

The previous prime is 938775829. The next prime is 938775847. The reversal of 938775840 is 48577839.

938775840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (938775847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8670 + ... + 44189.

It is an arithmetic number, because the mean of its divisors is an integer number (31636710).

Almost surely, 2^938775840 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 938775840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518562080).

938775840 is an abundant number, since it is smaller than the sum of its proper divisors (2098348320).

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

938775840 is a wasteful number, since it uses less digits than its factorization.

938775840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52914 (or 52906 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The square root of 938775840 is about 30639.4490812090. The cubic root of 938775840 is about 979.1606863515.

The spelling of 938775840 in words is "nine hundred thirty-eight million, seven hundred seventy-five thousand, eight hundred forty".