834111936 has 336 divisors, whose sum is σ = 2970849024. Its totient is φ = 218308608.

The previous prime is 834111911. The next prime is 834111991. The reversal of 834111936 is 639111438.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 834111936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2947251 + ... + 2947533.

Almost surely, 2^834111936 is an apocalyptic number.

834111936 is a gapful number since it is divisible by the number (86) 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 834111936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485424512).

834111936 is an abundant number, since it is smaller than the sum of its proper divisors (2136737088).

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

834111936 is a wasteful number, since it uses less digits than its factorization.

834111936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 355 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 834111936 is about 28880.9961047053. The cubic root of 834111936 is about 941.3290149167.

The spelling of 834111936 in words is "eight hundred thirty-four million, one hundred eleven thousand, nine hundred thirty-six".