34859136 has 64 divisors (see below), whose sum is σ = 99731520. Its totient is φ = 10724352.

The previous prime is 34859119. The next prime is 34859173. The reversal of 34859136 is 63195843.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 34859094 and 34859103.

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, 1501 + ... + 8483.

It is an arithmetic number, because the mean of its divisors is an integer number (1558305).

Almost surely, 2^34859136 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 34859136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49865760).

34859136 is an abundant number, since it is smaller than the sum of its proper divisors (64872384).

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

34859136 is a wasteful number, since it uses less digits than its factorization.

34859136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7013 (or 7001 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 34859136 is about 5904.1625993870. The cubic root of 34859136 is about 326.6672071813.

It can be divided in two parts, 3485 and 9136, that added together give a palindrome (12621).

The spelling of 34859136 in words is "thirty-four million, eight hundred fifty-nine thousand, one hundred thirty-six".