34000668 has 96 divisors (see below), whose sum is σ = 96729920. Its totient is φ = 10264320.

The previous prime is 34000667. The next prime is 34000679. The reversal of 34000668 is 86600043.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85446 + ... + 85842.

Almost surely, 2^34000668 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 34000668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48364960).

34000668 is an abundant number, since it is smaller than the sum of its proper divisors (62729252).

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

34000668 is a wasteful number, since it uses less digits than its factorization.

34000668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 476 counting only the distinct ones).

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

The square root of 34000668 is about 5831.0091750914. The cubic root of 34000668 is about 323.9633017420.

The spelling of 34000668 in words is "thirty-four million, six hundred sixty-eight", and thus it is an aban number.