829379034 has 128 divisors (see below), whose sum is σ = 2222069760. Its totient is φ = 226195200.

The previous prime is 829379029. The next prime is 829379039. The reversal of 829379034 is 430973928.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (829379029) and next prime (829379039).

It is not an unprimeable number, because it can be changed into a prime (829379039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230469 + ... + 234039.

It is an arithmetic number, because the mean of its divisors is an integer number (17359920).

Almost surely, 2^829379034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829379034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111034880).

829379034 is an abundant number, since it is smaller than the sum of its proper divisors (1392690726).

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

829379034 is a wasteful number, since it uses less digits than its factorization.

829379034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3633 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 829379034 is about 28798.9415430498. The cubic root of 829379034 is about 939.5452130792.

The spelling of 829379034 in words is "eight hundred twenty-nine million, three hundred seventy-nine thousand, thirty-four".