938761440 has 96 divisors (see below), whose sum is σ = 3012974496. Its totient is φ = 245606400.

The previous prime is 938761433. The next prime is 938761469. The reversal of 938761440 is 44167839.

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

It is a junction number, because it is equal to n+sod(n) for n = 938761392 and 938761401.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6990 + ... + 43890.

It is an arithmetic number, because the mean of its divisors is an integer number (31385151).

Almost surely, 2^938761440 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 938761440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506487248).

938761440 is an abundant number, since it is smaller than the sum of its proper divisors (2074213056).

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

938761440 is a wasteful number, since it uses less digits than its factorization.

938761440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36972 (or 36964 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 938761440 is about 30639.2140891375. The cubic root of 938761440 is about 979.1556798365.

The spelling of 938761440 in words is "nine hundred thirty-eight million, seven hundred sixty-one thousand, four hundred forty".