34180272 has 160 divisors (see below), whose sum is σ = 114278400. Its totient is φ = 9580032.

The previous prime is 34180271. The next prime is 34180273. The reversal of 34180272 is 27208143.

It is an interprime number because it is at equal distance from previous prime (34180271) and next prime (34180273).

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (34180271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269073 + ... + 269199.

It is an arithmetic number, because the mean of its divisors is an integer number (714240).

Almost surely, 2^34180272 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 34180272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57139200).

34180272 is an abundant number, since it is smaller than the sum of its proper divisors (80098128).

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

34180272 is a wasteful number, since it uses less digits than its factorization.

34180272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 34180272 is about 5846.3896551633. The cubic root of 34180272 is about 324.5327312677.

The spelling of 34180272 in words is "thirty-four million, one hundred eighty thousand, two hundred seventy-two".