4287957344 has 144 divisors (see below), whose sum is σ = 9809462880. Its totient is φ = 1839974400.

The previous prime is 4287957329. The next prime is 4287957353. The reversal of 4287957344 is 4437597824.

It is a happy number.

4287957344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 7925714 + ... + 7926254.

It is an arithmetic number, because the mean of its divisors is an integer number (68121270).

Almost surely, 2^4287957344 is an apocalyptic number.

4287957344 is a gapful number since it is divisible by the number (44) 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 4287957344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4904731440).

4287957344 is an abundant number, since it is smaller than the sum of its proper divisors (5521505536).

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

4287957344 is a wasteful number, since it uses less digits than its factorization.

4287957344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 666 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 53.

The square root of 4287957344 is about 65482.4964704309. The cubic root of 4287957344 is about 1624.6138530523.

The spelling of 4287957344 in words is "four billion, two hundred eighty-seven million, nine hundred fifty-seven thousand, three hundred forty-four".