34137060 has 96 divisors (see below), whose sum is σ = 103299840. Its totient is φ = 8397312.

The previous prime is 34137043. The next prime is 34137067. The reversal of 34137060 is 6073143.

It is a self number, because there is not a number n which added to its sum of digits gives 34137060.

It is not an unprimeable number, because it can be changed into a prime (34137067) 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, 39594 + ... + 40446.

It is an arithmetic number, because the mean of its divisors is an integer number (1076040).

Almost surely, 2^34137060 is an apocalyptic number.

34137060 is a gapful number since it is divisible by the number (30) 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 34137060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51649920).

34137060 is an abundant number, since it is smaller than the sum of its proper divisors (69162780).

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

34137060 is a wasteful number, since it uses less digits than its factorization.

34137060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 34137060 is about 5842.6928722978. The cubic root of 34137060 is about 324.3959113861.

It can be divided in two parts, 341 and 37060, that added together give a triangular number (37401 = T₂₇₃).

The spelling of 34137060 in words is "thirty-four million, one hundred thirty-seven thousand, sixty".