3041382960 has 720 divisors, whose sum is σ = 13753932192. Its totient is φ = 593510400.

The previous prime is 3041382941. The next prime is 3041382983. The reversal of 3041382960 is 692831403.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6597130 + ... + 6597590.

Almost surely, 2^3041382960 is an apocalyptic number.

3041382960 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 3041382960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6876966096).

3041382960 is an abundant number, since it is smaller than the sum of its proper divisors (10712549232).

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

3041382960 is a wasteful number, since it uses less digits than its factorization.

3041382960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3041382960 is about 55148.7348902946. The cubic root of 3041382960 is about 1448.8509263427.

The spelling of 3041382960 in words is "three billion, forty-one million, three hundred eighty-two thousand, nine hundred sixty".