34146168 has 64 divisors (see below), whose sum is σ = 101813760. Its totient is φ = 9330816.

The previous prime is 34146157. The next prime is 34146179. The reversal of 34146168 is 86164143.

It is an interprime number because it is at equal distance from previous prime (34146157) and next prime (34146179).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555 + ... + 8282.

It is an arithmetic number, because the mean of its divisors is an integer number (1590840).

Almost surely, 2^34146168 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 34146168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50906880).

34146168 is an abundant number, since it is smaller than the sum of its proper divisors (67667592).

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

34146168 is a wasteful number, since it uses less digits than its factorization.

34146168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8876 (or 8872 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 34146168 is about 5843.4722554317. The cubic root of 34146168 is about 324.4247591665.

The spelling of 34146168 in words is "thirty-four million, one hundred forty-six thousand, one hundred sixty-eight".