838034064 has 360 divisors, whose sum is σ = 2948025600. Its totient is φ = 222009984.

The previous prime is 838034063. The next prime is 838034089. The reversal of 838034064 is 460430838.

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

It is not an unprimeable number, because it can be changed into a prime (838034063) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17830489 + ... + 17830535.

It is an arithmetic number, because the mean of its divisors is an integer number (8188960).

Almost surely, 2^838034064 is an apocalyptic number.

838034064 is a gapful number since it is divisible by the number (84) 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 838034064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474012800).

838034064 is an abundant number, since it is smaller than the sum of its proper divisors (2109991536).

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

838034064 is a wasteful number, since it uses less digits than its factorization.

838034064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 838034064 is about 28948.8180069584. The cubic root of 838034064 is about 942.8021350041.

The spelling of 838034064 in words is "eight hundred thirty-eight million, thirty-four thousand, sixty-four".