34729128 has 128 divisors (see below), whose sum is σ = 111820800. Its totient is φ = 9782208.

The previous prime is 34729127. The next prime is 34729133. The reversal of 34729128 is 82192743.

34729128 is a `hidden beast` number, since 347 + 291 + 28 = 666.

It is a super-2 number, since 2×34729128² = 2412224663280768, which contains 22 as substring.

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 junction number, because it is equal to n+sod(n) for n = 34729092 and 34729101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34729127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 155625 + ... + 155847.

It is an arithmetic number, because the mean of its divisors is an integer number (873600).

Almost surely, 2^34729128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34729128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55910400).

34729128 is an abundant number, since it is smaller than the sum of its proper divisors (77091672).

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

34729128 is a wasteful number, since it uses less digits than its factorization.

34729128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 338 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 34729128 is about 5893.1424554307. The cubic root of 34729128 is about 326.2605968285.

The spelling of 34729128 in words is "thirty-four million, seven hundred twenty-nine thousand, one hundred twenty-eight".