3070668960 has 288 divisors, whose sum is σ = 11014678080. Its totient is φ = 798792192.

The previous prime is 3070668949. The next prime is 3070668971. The reversal of 3070668960 is 698660703.

It is an interprime number because it is at equal distance from previous prime (3070668949) and next prime (3070668971).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29812269 + ... + 29812371.

It is an arithmetic number, because the mean of its divisors is an integer number (38245410).

Almost surely, 2^3070668960 is an apocalyptic number.

3070668960 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 3070668960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5507339040).

3070668960 is an abundant number, since it is smaller than the sum of its proper divisors (7944009120).

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

3070668960 is a wasteful number, since it uses less digits than its factorization.

3070668960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3070668960 is about 55413.6170990489. The cubic root of 3070668960 is about 1453.4864907937.

The spelling of 3070668960 in words is "three billion, seventy million, six hundred sixty-eight thousand, nine hundred sixty".