34007136 has 48 divisors (see below), whose sum is σ = 89812800. Its totient is φ = 11266688.

The previous prime is 34007063. The next prime is 34007143. The reversal of 34007136 is 63170043.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16195 + ... + 18173.

It is an arithmetic number, because the mean of its divisors is an integer number (1871100).

Almost surely, 2^34007136 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 34007136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44906400).

34007136 is an abundant number, since it is smaller than the sum of its proper divisors (55805664).

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

34007136 is a wasteful number, since it uses less digits than its factorization.

34007136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2163 counting only the distinct ones).

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

The square root of 34007136 is about 5831.5637696933. The cubic root of 34007136 is about 323.9838431206.

Adding to 34007136 its reverse (63170043), we get a palindrome (97177179).

It can be divided in two parts, 34007 and 136, that added together give a palindrome (34143).

The spelling of 34007136 in words is "thirty-four million, seven thousand, one hundred thirty-six".