5757241344 has 96 divisors (see below), whose sum is σ = 15425111520. Its totient is φ = 1909555200.

The previous prime is 5757241309. The next prime is 5757241351. The reversal of 5757241344 is 4431427575.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5757241296 and 5757241305.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1294164 + ... + 1298604.

It is an arithmetic number, because the mean of its divisors is an integer number (160678245).

Almost surely, 2^5757241344 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 5757241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7712555760).

5757241344 is an abundant number, since it is smaller than the sum of its proper divisors (9667870176).

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

5757241344 is a wasteful number, since it uses less digits than its factorization.

5757241344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4677 (or 4657 counting only the distinct ones).

The product of its digits is 470400, while the sum is 42.

The square root of 5757241344 is about 75876.4874252887. The cubic root of 5757241344 is about 1792.2756803764.

The spelling of 5757241344 in words is "five billion, seven hundred fifty-seven million, two hundred forty-one thousand, three hundred forty-four".