34121136 has 80 divisors (see below), whose sum is σ = 101493504. Its totient is φ = 9676032.

The previous prime is 34121099. The next prime is 34121147. The reversal of 34121136 is 63112143.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57835 + ... + 58421.

Almost surely, 2^34121136 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 34121136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50746752).

34121136 is an abundant number, since it is smaller than the sum of its proper divisors (67372368).

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

34121136 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (34121135) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (778).

34121136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 772 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 34121136 is about 5841.3299855427. The cubic root of 34121136 is about 324.3454629495.

Adding to 34121136 its reverse (63112143), we get a palindrome (97233279).

The spelling of 34121136 in words is "thirty-four million, one hundred twenty-one thousand, one hundred thirty-six".