3342247272 has 288 divisors, whose sum is σ = 11764116000. Its totient is φ = 881145216.

The previous prime is 3342247261. The next prime is 3342247273. The reversal of 3342247272 is 2727422433.

3342247272 is a `hidden beast` number, since 3 + 342 + 2 + 47 + 272 = 666.

3342247272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3342247272² = 22341233654382883968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3342247273) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1236979 + ... + 1239677.

It is an arithmetic number, because the mean of its divisors is an integer number (40847625).

Almost surely, 2^3342247272 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 3342247272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5882058000).

3342247272 is an abundant number, since it is smaller than the sum of its proper divisors (8421868728).

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

3342247272 is a wasteful number, since it uses less digits than its factorization.

3342247272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747 (or 2724 counting only the distinct ones).

The product of its digits is 112896, while the sum is 36.

The square root of 3342247272 is about 57812.1723515040. The cubic root of 3342247272 is about 1495.1319625650.

The spelling of 3342247272 in words is "three billion, three hundred forty-two million, two hundred forty-seven thousand, two hundred seventy-two".