3061272960 has 384 divisors, whose sum is σ = 11536077600. Its totient is φ = 767066112.

The previous prime is 3061272953. The next prime is 3061272961. The reversal of 3061272960 is 692721603.

3061272960 is a `hidden beast` number, since 30 + 612 + 7 + 2 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3061272961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4993614 + ... + 4994226.

Almost surely, 2^3061272960 is an apocalyptic number.

3061272960 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 3061272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5768038800).

3061272960 is an abundant number, since it is smaller than the sum of its proper divisors (8474804640).

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

3061272960 is a wasteful number, since it uses less digits than its factorization.

3061272960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3061272960 is about 55328.7715388657. The cubic root of 3061272960 is about 1452.0024588443.

The spelling of 3061272960 in words is "three billion, sixty-one million, two hundred seventy-two thousand, nine hundred sixty".