834774432 has 96 divisors (see below), whose sum is σ = 2270903040. Its totient is φ = 268308480.

The previous prime is 834774431. The next prime is 834774463. The reversal of 834774432 is 234477438.

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

It is not an unprimeable number, because it can be changed into a prime (834774431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349113 + ... + 351495.

It is an arithmetic number, because the mean of its divisors is an integer number (23655240).

Almost surely, 2^834774432 is an apocalyptic number.

834774432 is a gapful number since it is divisible by the number (82) 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 834774432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135451520).

834774432 is an abundant number, since it is smaller than the sum of its proper divisors (1436128608).

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

834774432 is a wasteful number, since it uses less digits than its factorization.

834774432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526 (or 2518 counting only the distinct ones).

The product of its digits is 451584, while the sum is 42.

The square root of 834774432 is about 28892.4632387064. The cubic root of 834774432 is about 941.5781667979.

The spelling of 834774432 in words is "eight hundred thirty-four million, seven hundred seventy-four thousand, four hundred thirty-two".