34083216 has 60 divisors (see below), whose sum is σ = 97978972. Its totient is φ = 11052288.

The previous prime is 34083199. The next prime is 34083223. The reversal of 34083216 is 61238043.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12960000 + 21123216 = 3600^2 + 4596^2 .

It is a super-2 number, since 2×34083216² = 2323331225805312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34083216.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2130 + ... + 8526.

Almost surely, 2^34083216 is an apocalyptic number.

34083216 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 34083216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48989486).

34083216 is an abundant number, since it is smaller than the sum of its proper divisors (63895756).

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

34083216 is a wasteful number, since it uses less digits than its factorization.

34083216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6448 (or 6439 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 34083216 is about 5838.0832470940. The cubic root of 34083216 is about 324.2252662974.

The spelling of 34083216 in words is "thirty-four million, eighty-three thousand, two hundred sixteen".