34137018 has 32 divisors (see below), whose sum is σ = 76723200. Its totient is φ = 11249568.

The previous prime is 34137017. The next prime is 34137029. The reversal of 34137018 is 81073143.

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

It is a junction number, because it is equal to n+sod(n) for n = 34136982 and 34137000.

It is not an unprimeable number, because it can be changed into a prime (34137011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1255 + ... + 8357.

It is an arithmetic number, because the mean of its divisors is an integer number (2397600).

Almost surely, 2^34137018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34137018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38361600).

34137018 is an abundant number, since it is smaller than the sum of its proper divisors (42586182).

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

34137018 is a wasteful number, since it uses less digits than its factorization.

34137018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7203 (or 7197 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 34137018 is about 5842.6892780637. The cubic root of 34137018 is about 324.3957783476.

The spelling of 34137018 in words is "thirty-four million, one hundred thirty-seven thousand, eighteen".