34135416 has 96 divisors (see below), whose sum is σ = 106984800. Its totient is φ = 9630720.

The previous prime is 34135397. The next prime is 34135447. The reversal of 34135416 is 61453143.

It is a self number, because there is not a number n which added to its sum of digits gives 34135416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44476 + ... + 45236.

It is an arithmetic number, because the mean of its divisors is an integer number (1114425).

Almost surely, 2^34135416 is an apocalyptic number.

34135416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34135416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53492400).

34135416 is an abundant number, since it is smaller than the sum of its proper divisors (72849384).

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

34135416 is a wasteful number, since it uses less digits than its factorization.

34135416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 862 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 34135416 is about 5842.5521820519. The cubic root of 34135416 is about 324.3907037961.

Adding to 34135416 its reverse (61453143), we get a palindrome (95588559).

The spelling of 34135416 in words is "thirty-four million, one hundred thirty-five thousand, four hundred sixteen".