34002180 has 120 divisors (see below), whose sum is σ = 108144960. Its totient is φ = 8942400.

The previous prime is 34002179. The next prime is 34002187. The reversal of 34002180 is 8120043.

It is a happy number.

It is a super-2 number, since 2×34002180² = 2312296489504800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34002187) 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, 225105 + ... + 225255.

It is an arithmetic number, because the mean of its divisors is an integer number (901208).

Almost surely, 2^34002180 is an apocalyptic number.

34002180 is a gapful number since it is divisible by the number (30) 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 34002180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54072480).

34002180 is an abundant number, since it is smaller than the sum of its proper divisors (74142780).

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

34002180 is a wasteful number, since it uses less digits than its factorization.

34002180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 34002180 is about 5831.1388253068. The cubic root of 34002180 is about 323.9681038560.

The spelling of 34002180 in words is "thirty-four million, two thousand, one hundred eighty".