34137012 has 96 divisors (see below), whose sum is σ = 100452352. Its totient is φ = 8781696.

The previous prime is 34137011. The next prime is 34137017. The reversal of 34137012 is 21073143.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 34137012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34137011) 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, 46593 + ... + 47319.

Almost surely, 2^34137012 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 34137012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50226176).

34137012 is an abundant number, since it is smaller than the sum of its proper divisors (66315340).

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

34137012 is a wasteful number, since it uses less digits than its factorization.

34137012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 34137012 is about 5842.6887646014. The cubic root of 34137012 is about 324.3957593420.

The spelling of 34137012 in words is "thirty-four million, one hundred thirty-seven thousand, twelve".