2343382272 has 864 divisors, whose sum is σ = 9562976640. Its totient is φ = 557383680.

The previous prime is 2343382229. The next prime is 2343382277. The reversal of 2343382272 is 2722833432.

2343382272 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 382 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×2343382272³ (a number of 29 digits) contains 333 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2343382277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63334638 + ... + 63334674.

It is an arithmetic number, because the mean of its divisors is an integer number (11068260).

Almost surely, 2^2343382272 is an apocalyptic number.

2343382272 is a gapful number since it is divisible by the number (22) 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 2343382272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4781488320).

2343382272 is an abundant number, since it is smaller than the sum of its proper divisors (7219594368).

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

2343382272 is a wasteful number, since it uses less digits than its factorization.

2343382272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 77 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 2343382272 is about 48408.4938001587. The cubic root of 2343382272 is about 1328.2537377451.

The spelling of 2343382272 in words is "two billion, three hundred forty-three million, three hundred eighty-two thousand, two hundred seventy-two".