34066164 has 144 divisors (see below), whose sum is σ = 99025920. Its totient is φ = 9008640.

The previous prime is 34066141. The next prime is 34066169. The reversal of 34066164 is 46166043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34066169) 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, 724789 + ... + 724835.

It is an arithmetic number, because the mean of its divisors is an integer number (687680).

Almost surely, 2^34066164 is an apocalyptic number.

34066164 is a gapful number since it is divisible by the number (34) 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 34066164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49512960).

34066164 is an abundant number, since it is smaller than the sum of its proper divisors (64959756).

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

34066164 is a wasteful number, since it uses less digits than its factorization.

34066164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 34066164 is about 5836.6226535557. The cubic root of 34066164 is about 324.1711867811.

It can be divided in two parts, 340661 and 64, that added together give a triangular number (340725 = T₈₂₅).

The spelling of 34066164 in words is "thirty-four million, sixty-six thousand, one hundred sixty-four".