34505016 has 192 divisors, whose sum is σ = 112805280. Its totient is φ = 8709120.

The previous prime is 34504999. The next prime is 34505017. The reversal of 34505016 is 61050543.

It is a super-2 number, since 2×34505016² = 2381192258320512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34505017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 565626 + ... + 565686.

Almost surely, 2^34505016 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 34505016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56402640).

34505016 is an abundant number, since it is smaller than the sum of its proper divisors (78300264).

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

34505016 is a wasteful number, since it uses less digits than its factorization.

34505016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 34505016 is about 5874.0970369922. The cubic root of 34505016 is about 325.5572797797.

Adding to 34505016 its reverse (61050543), we get a palindrome (95555559).

The spelling of 34505016 in words is "thirty-four million, five hundred five thousand, sixteen".