3434272 has 48 divisors (see below), whose sum is σ = 7348320. Its totient is φ = 1573888.

The previous prime is 3434257. The next prime is 3434279. The reversal of 3434272 is 2724343.

It is not an unprimeable number, because it can be changed into a prime (3434279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32043 + ... + 32149.

It is an arithmetic number, because the mean of its divisors is an integer number (153090).

Almost surely, 2^3434272 is an apocalyptic number.

3434272 is a gapful number since it is divisible by the number (32) 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 3434272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674160).

3434272 is an abundant number, since it is smaller than the sum of its proper divisors (3914048).

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

3434272 is a wasteful number, since it uses less digits than its factorization.

3434272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 185 counting only the distinct ones).

The product of its digits is 4032, while the sum is 25.

The square root of 3434272 is about 1853.1788904474. The cubic root of 3434272 is about 150.8730128370.

The spelling of 3434272 in words is "three million, four hundred thirty-four thousand, two hundred seventy-two".