34839126 has 128 divisors (see below), whose sum is σ = 94556160. Its totient is φ = 9300096.

The previous prime is 34839109. The next prime is 34839149. The reversal of 34839126 is 62193843.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 657316 + ... + 657368.

It is an arithmetic number, because the mean of its divisors is an integer number (738720).

Almost surely, 2^34839126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34839126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47278080).

34839126 is an abundant number, since it is smaller than the sum of its proper divisors (59717034).

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

34839126 is a wasteful number, since it uses less digits than its factorization.

34839126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

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

The square root of 34839126 is about 5902.4677889845. The cubic root of 34839126 is about 326.6046902184.

It can be divided in two parts, 34 and 839126, that added together give a triangular number (839160 = T₁₂₉₅).

The spelling of 34839126 in words is "thirty-four million, eight hundred thirty-nine thousand, one hundred twenty-six".