3102240960 has 1008 divisors, whose sum is σ = 14228978400. Its totient is φ = 613122048.

The previous prime is 3102240863. The next prime is 3102240961. The reversal of 3102240960 is 690422013.

It is a tau number, because it is divible by the number of its divisors (1008).

It is not an unprimeable number, because it can be changed into a prime (3102240961) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 34856596 + ... + 34856684.

It is an arithmetic number, because the mean of its divisors is an integer number (14116050).

Almost surely, 2^3102240960 is an apocalyptic number.

3102240960 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 3102240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7114489200).

3102240960 is an abundant number, since it is smaller than the sum of its proper divisors (11126737440).

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

3102240960 is a wasteful number, since it uses less digits than its factorization.

3102240960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3102240960 is about 55697.7644075595. The cubic root of 3102240960 is about 1458.4509999280.

Adding to 3102240960 its reverse (690422013), we get a palindrome (3792662973).

The spelling of 3102240960 in words is "three billion, one hundred two million, two hundred forty thousand, nine hundred sixty".