3061688960 has 128 divisors (see below), whose sum is σ = 8242905600. Its totient is φ = 1077350400.

The previous prime is 3061688951. The next prime is 3061688963. The reversal of 3061688960 is 698861603.

3061688960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (3061688963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211226 + ... + 225254.

It is an arithmetic number, because the mean of its divisors is an integer number (64397700).

Almost surely, 2^3061688960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3061688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4121452800).

3061688960 is an abundant number, since it is smaller than the sum of its proper divisors (5181216640).

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

3061688960 is a wasteful number, since it uses less digits than its factorization.

3061688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14090 (or 14078 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 47.

The square root of 3061688960 is about 55332.5307572318. The cubic root of 3061688960 is about 1452.0682273086.

The spelling of 3061688960 in words is "three billion, sixty-one million, six hundred eighty-eight thousand, nine hundred sixty".