34374144 has 160 divisors (see below), whose sum is σ = 109992960. Its totient is φ = 9326592.

The previous prime is 34374127. The next prime is 34374209. The reversal of 34374144 is 44147343.

It is a super-3 number, since 3×34374144³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247227 + ... + 247365.

It is an arithmetic number, because the mean of its divisors is an integer number (687456).

Almost surely, 2^34374144 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 34374144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54996480).

34374144 is an abundant number, since it is smaller than the sum of its proper divisors (75618816).

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

34374144 is a wasteful number, since it uses less digits than its factorization.

34374144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 174 counting only the distinct ones).

The product of its digits is 16128, while the sum is 30.

The square root of 34374144 is about 5862.9466993995. The cubic root of 34374144 is about 325.1451627661.

The spelling of 34374144 in words is "thirty-four million, three hundred seventy-four thousand, one hundred forty-four".