3056964960 has 288 divisors, whose sum is σ = 11690687232. Its totient is φ = 668236800.

The previous prime is 3056964917. The next prime is 3056964979. The reversal of 3056964960 is 694696503.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 538135 + ... + 543785.

It is an arithmetic number, because the mean of its divisors is an integer number (40592664).

Almost surely, 2^3056964960 is an apocalyptic number.

3056964960 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 3056964960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5845343616).

3056964960 is an abundant number, since it is smaller than the sum of its proper divisors (8633722272).

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

3056964960 is a wasteful number, since it uses less digits than its factorization.

3056964960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5706 (or 5691 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 48.

The square root of 3056964960 is about 55289.8269123715. The cubic root of 3056964960 is about 1451.3210252044.

The spelling of 3056964960 in words is "three billion, fifty-six million, nine hundred sixty-four thousand, nine hundred sixty".