2934241344 has 168 divisors, whose sum is σ = 9213174360. Its totient is φ = 888717312.

The previous prime is 2934241291. The next prime is 2934241363. The reversal of 2934241344 is 4431424392.

2934241344 is a `hidden beast` number, since 293 + 4 + 24 + 1 + 344 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1150023744 + 1784217600 = 33912^2 + 42240^2 .

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 junction number, because it is equal to n+sod(n) for n = 2934241299 and 2934241308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278802 + ... + 289134.

Almost surely, 2^2934241344 is an apocalyptic number.

2934241344 is a gapful number since it is divisible by the number (24) 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 2934241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4606587180).

2934241344 is an abundant number, since it is smaller than the sum of its proper divisors (6278933016).

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

2934241344 is a wasteful number, since it uses less digits than its factorization.

2934241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10397 (or 10384 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 2934241344 is about 54168.6380113069. The cubic root of 2934241344 is about 1431.6338025162.

The spelling of 2934241344 in words is "two billion, nine hundred thirty-four million, two hundred forty-one thousand, three hundred forty-four".