34182016 has 48 divisors (see below), whose sum is σ = 74884320. Its totient is φ = 15530240.

The previous prime is 34182011. The next prime is 34182017. The reversal of 34182016 is 61028143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34182011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14385 + ... + 16591.

It is an arithmetic number, because the mean of its divisors is an integer number (1560090).

Almost surely, 2^34182016 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 34182016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37442160).

34182016 is an abundant number, since it is smaller than the sum of its proper divisors (40702304).

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

34182016 is a wasteful number, since it uses less digits than its factorization.

34182016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 34182016 is about 5846.5388051393. The cubic root of 34182016 is about 324.5382507816.

The spelling of 34182016 in words is "thirty-four million, one hundred eighty-two thousand, sixteen".