3049457760 has 384 divisors, whose sum is σ = 11391528960. Its totient is φ = 760117248.

The previous prime is 3049457759. The next prime is 3049457797. The reversal of 3049457760 is 677549403.

3049457760 is a `hidden beast` number, since 30 + 49 + 4 + 577 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4669594 + ... + 4670246.

It is an arithmetic number, because the mean of its divisors is an integer number (29665440).

Almost surely, 2^3049457760 is an apocalyptic number.

3049457760 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 3049457760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5695764480).

3049457760 is an abundant number, since it is smaller than the sum of its proper divisors (8342071200).

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

3049457760 is a wasteful number, since it uses less digits than its factorization.

3049457760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3049457760 is about 55221.8956574292. The cubic root of 3049457760 is about 1450.1320149324.

The spelling of 3049457760 in words is "three billion, forty-nine million, four hundred fifty-seven thousand, seven hundred sixty".