938741904 has 240 divisors, whose sum is σ = 2924812800. Its totient is φ = 279797760.

The previous prime is 938741893. The next prime is 938741933. The reversal of 938741904 is 409147839.

It is a self number, because there is not a number n which added to its sum of digits gives 938741904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4717197 + ... + 4717395.

It is an arithmetic number, because the mean of its divisors is an integer number (12186720).

Almost surely, 2^938741904 is an apocalyptic number.

938741904 is a gapful number since it is divisible by the number (94) 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 938741904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462406400).

938741904 is an abundant number, since it is smaller than the sum of its proper divisors (1986070896).

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

938741904 is a wasteful number, since it uses less digits than its factorization.

938741904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 938741904 is about 30638.8952803459. The cubic root of 938741904 is about 979.1488875826.

The spelling of 938741904 in words is "nine hundred thirty-eight million, seven hundred forty-one thousand, nine hundred four".