3057834240 has 504 divisors, whose sum is σ = 11460891960. Its totient is φ = 780337152.

The previous prime is 3057834229. The next prime is 3057834259. The reversal of 3057834240 is 424387503.

It is a happy number.

3057834240 is a `hidden beast` number, since 3 + 0 + 578 + 3 + 42 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 186624 + 3057647616 = 432^2 + 55296^2 .

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 = 3057834195 and 3057834204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 27060424 + ... + 27060536.

It is an arithmetic number, because the mean of its divisors is an integer number (22739865).

Almost surely, 2^3057834240 is an apocalyptic number.

3057834240 is a gapful number since it is divisible by the number (30) 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 3057834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5730445980).

3057834240 is an abundant number, since it is smaller than the sum of its proper divisors (8403057720).

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

3057834240 is an equidigital number, since it uses as much as digits as its factorization.

3057834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3057834240 is about 55297.6874742516. The cubic root of 3057834240 is about 1451.4585782777.

The spelling of 3057834240 in words is "three billion, fifty-seven million, eight hundred thirty-four thousand, two hundred forty".