34726016 has 64 divisors (see below), whose sum is σ = 76469400. Its totient is φ = 15605760.

The previous prime is 34726007. The next prime is 34726031. The reversal of 34726016 is 61062743.

It can be written as a sum of positive squares in 4 ways, for example, as 20286016 + 14440000 = 4504^2 + 3800^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 34726016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67970 + ... + 68478.

Almost surely, 2^34726016 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 34726016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38234700).

34726016 is an abundant number, since it is smaller than the sum of its proper divisors (41743384).

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

34726016 is a wasteful number, since it uses less digits than its factorization.

34726016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 34726016 is about 5892.8784138144. The cubic root of 34726016 is about 326.2508513750.

Adding to 34726016 its reverse (61062743), we get a palindrome (95788759).

The spelling of 34726016 in words is "thirty-four million, seven hundred twenty-six thousand, sixteen".