34083126 has 96 divisors (see below), whose sum is σ = 96197760. Its totient is φ = 8845200.

The previous prime is 34083109. The next prime is 34083139. The reversal of 34083126 is 62138043.

It is a happy number.

34083126 is a `hidden beast` number, since 340 + 8 + 312 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34083126.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28521 + ... + 29691.

It is an arithmetic number, because the mean of its divisors is an integer number (1002060).

Almost surely, 2^34083126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34083126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48098880).

34083126 is an abundant number, since it is smaller than the sum of its proper divisors (62114634).

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

34083126 is a wasteful number, since it uses less digits than its factorization.

34083126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 34083126 is about 5838.0755390796. The cubic root of 34083126 is about 324.2249809146.

The spelling of 34083126 in words is "thirty-four million, eighty-three thousand, one hundred twenty-six".