938831040 has 672 divisors, whose sum is σ = 4087733760. Its totient is φ = 198567936.

The previous prime is 938831017. The next prime is 938831041. The reversal of 938831040 is 40138839.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 938830986 and 938831004.

It is not an unprimeable number, because it can be changed into a prime (938831041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21833259 + ... + 21833301.

Almost surely, 2^938831040 is an apocalyptic number.

938831040 is a gapful number since it is divisible by the number (90) 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 938831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043866880).

938831040 is an abundant number, since it is smaller than the sum of its proper divisors (3148902720).

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

938831040 is a wasteful number, since it uses less digits than its factorization.

938831040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 938831040 is about 30640.3498674542. The cubic root of 938831040 is about 979.1798775181.

Adding to 938831040 its reverse (40138839), we get a palindrome (978969879).

The spelling of 938831040 in words is "nine hundred thirty-eight million, eight hundred thirty-one thousand, forty".