3334272 has 64 divisors (see below), whose sum is σ = 9343200. Its totient is φ = 1050624.

The previous prime is 3334271. The next prime is 3334273. The reversal of 3334272 is 2724333.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3334271) and next prime (3334273).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3334272² = 22234739539968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3334271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7068 + ... + 7524.

Almost surely, 2^3334272 is an apocalyptic number.

3334272 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 3334272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4671600).

3334272 is an abundant number, since it is smaller than the sum of its proper divisors (6008928).

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

3334272 is a wasteful number, since it uses less digits than its factorization.

3334272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 481 counting only the distinct ones).

The product of its digits is 3024, while the sum is 24.

The square root of 3334272 is about 1825.9989047094. The cubic root of 3334272 is about 149.3941787201.

The spelling of 3334272 in words is "three million, three hundred thirty-four thousand, two hundred seventy-two".