34137500 has 36 divisors (see below), whose sum is σ = 74698344. Its totient is φ = 13650000.

The previous prime is 34137469. The next prime is 34137503. The reversal of 34137500 is 573143.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34137503) 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 11 ways as a sum of consecutive naturals, for example, 11135 + ... + 13865.

It is an arithmetic number, because the mean of its divisors is an integer number (2074954).

Almost surely, 2^34137500 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 34137500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37349172).

34137500 is an abundant number, since it is smaller than the sum of its proper divisors (40560844).

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

34137500 is an equidigital number, since it uses as much as digits as its factorization.

34137500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 34137500 is about 5842.7305260469. The cubic root of 34137500 is about 324.3973051166.

The spelling of 34137500 in words is "thirty-four million, one hundred thirty-seven thousand, five hundred".