34083666 has 56 divisors (see below), whose sum is σ = 77764764. Its totient is φ = 11197440.

The previous prime is 34083661. The next prime is 34083667. The reversal of 34083666 is 66638043.

It can be written as a sum of positive squares in 2 ways, for example, as 33698025 + 385641 = 5805^2 + 621^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34083666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34083661) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 141306 + ... + 141546.

Almost surely, 2^34083666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34083666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38882382).

34083666 is an abundant number, since it is smaller than the sum of its proper divisors (43681098).

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

34083666 is an equidigital number, since it uses as much as digits as its factorization.

34083666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 34083666 is about 5838.1217870134. The cubic root of 34083666 is about 324.2266932043.

The spelling of 34083666 in words is "thirty-four million, eighty-three thousand, six hundred sixty-six".