34829136 has 80 divisors (see below), whose sum is σ = 102721600. Its totient is φ = 11290752.

The previous prime is 34829129. The next prime is 34829159. The reversal of 34829136 is 63192843.

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 34829136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14895 + ... + 17073.

It is an arithmetic number, because the mean of its divisors is an integer number (1284020).

Almost surely, 2^34829136 is an apocalyptic number.

34829136 is a gapful number since it is divisible by the number (36) 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 34829136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51360800).

34829136 is an abundant number, since it is smaller than the sum of its proper divisors (67892464).

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

34829136 is a wasteful number, since it uses less digits than its factorization.

34829136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2221 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 34829136 is about 5901.6214721041. The cubic root of 34829136 is about 326.5734696421.

The spelling of 34829136 in words is "thirty-four million, eight hundred twenty-nine thousand, one hundred thirty-six".