34526016 has 84 divisors (see below), whose sum is σ = 113113312. Its totient is φ = 9863424.

The previous prime is 34526003. The next prime is 34526017. The reversal of 34526016 is 61062543.

34526016 is a `hidden beast` number, since 3 + 4 + 52 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34526017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250 + ... + 8313.

Almost surely, 2^34526016 is an apocalyptic number.

34526016 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 34526016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56556656).

34526016 is an abundant number, since it is smaller than the sum of its proper divisors (78587296).

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

34526016 is a wasteful number, since it uses less digits than its factorization.

34526016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8588 (or 8575 counting only the distinct ones).

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

The square root of 34526016 is about 5875.8842738774. The cubic root of 34526016 is about 325.6233118835.

Adding to 34526016 its reverse (61062543), we get a palindrome (95588559).

The spelling of 34526016 in words is "thirty-four million, five hundred twenty-six thousand, sixteen".