34156416 has 128 divisors (see below), whose sum is σ = 105557760. Its totient is φ = 9584640.

The previous prime is 34156411. The next prime is 34156427. The reversal of 34156416 is 61465143.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (8640) is a multiple of the sum of its prime divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34156411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260671 + ... + 260801.

It is an arithmetic number, because the mean of its divisors is an integer number (824670).

Almost surely, 2^34156416 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 34156416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52778880).

34156416 is an abundant number, since it is smaller than the sum of its proper divisors (71401344).

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

34156416 is a wasteful number, since it uses less digits than its factorization.

34156416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 240 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 34156416 is about 5844.3490655504. The cubic root of 34156416 is about 324.4572115379.

The spelling of 34156416 in words is "thirty-four million, one hundred fifty-six thousand, four hundred sixteen".