838034964 has 96 divisors (see below), whose sum is σ = 2348519040. Its totient is φ = 256898304.

The previous prime is 838034959. The next prime is 838034971. The reversal of 838034964 is 469430838.

838034964 is a `hidden beast` number, since 83 + 80 + 3 + 496 + 4 = 666.

838034964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 438499 + ... + 440405.

It is an arithmetic number, because the mean of its divisors is an integer number (24463740).

Almost surely, 2^838034964 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 838034964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174259520).

838034964 is an abundant number, since it is smaller than the sum of its proper divisors (1510484076).

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

838034964 is a wasteful number, since it uses less digits than its factorization.

838034964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 838034964 is about 28948.8335516304. The cubic root of 838034964 is about 942.8024725089.

The spelling of 838034964 in words is "eight hundred thirty-eight million, thirty-four thousand, nine hundred sixty-four".