34164018 has 80 divisors (see below), whose sum is σ = 89489664. Its totient is φ = 9538560.

The previous prime is 34164017. The next prime is 34164019. The reversal of 34164018 is 81046143.

34164018 is a `hidden beast` number, since 3 + 4 + 1 + 640 + 18 = 666.

It is an interprime number because it is at equal distance from previous prime (34164017) and next prime (34164019).

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

It is a junction number, because it is equal to n+sod(n) for n = 34163982 and 34164000.

It is not an unprimeable number, because it can be changed into a prime (34164017) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52978 + ... + 53618.

Almost surely, 2^34164018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34164018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44744832).

34164018 is an abundant number, since it is smaller than the sum of its proper divisors (55325646).

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

34164018 is a wasteful number, since it uses less digits than its factorization.

34164018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 34164018 is about 5844.9994011976. Note that the first 3 decimals coincide. The cubic root of 34164018 is about 324.4812806202.

The spelling of 34164018 in words is "thirty-four million, one hundred sixty-four thousand, eighteen".