4047361344 has 196 divisors, whose sum is σ = 12969944596. Its totient is φ = 1245155328.

The previous prime is 4047361327. The next prime is 4047361363. The reversal of 4047361344 is 4431637404.

4047361344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 337089600 + 3710271744 = 18360^2 + 60912^2 .

It is a super-2 number, since 2×4047361344² = 32762267697810972672, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4047361299 and 4047361308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 603192 + ... + 609864.

Almost surely, 2^4047361344 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 4047361344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6484972298).

4047361344 is an abundant number, since it is smaller than the sum of its proper divisors (8922583252).

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

4047361344 is an equidigital number, since it uses as much as digits as its factorization.

4047361344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6716 (or 6691 counting only the distinct ones).

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

The square root of 4047361344 is about 63618.8756895310. The cubic root of 4047361344 is about 1593.6416069119.

Adding to 4047361344 its reverse (4431637404), we get a palindrome (8478998748).

The spelling of 4047361344 in words is "four billion, forty-seven million, three hundred sixty-one thousand, three hundred forty-four".