34066368 has 252 divisors, whose sum is σ = 121962672. Its totient is φ = 9031680.

The previous prime is 34066337. The next prime is 34066379. The reversal of 34066368 is 86366043.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×34066368² = 2321034857422848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 479773 + ... + 479843.

Almost surely, 2^34066368 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 34066368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60981336).

34066368 is an abundant number, since it is smaller than the sum of its proper divisors (87896304).

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

34066368 is a wasteful number, since it uses less digits than its factorization.

34066368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

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

The square root of 34066368 is about 5836.6401293895. The cubic root of 34066368 is about 324.1718338630.

The spelling of 34066368 in words is "thirty-four million, sixty-six thousand, three hundred sixty-eight".