3006962464 has 96 divisors (see below), whose sum is σ = 6636349440. Its totient is φ = 1329619200.

The previous prime is 3006962449. The next prime is 3006962489. The reversal of 3006962464 is 4642696003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1973607 + ... + 1975129.

It is an arithmetic number, because the mean of its divisors is an integer number (69128640).

Almost surely, 2^3006962464 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 3006962464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318174720).

3006962464 is an abundant number, since it is smaller than the sum of its proper divisors (3629386976).

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

3006962464 is a wasteful number, since it uses less digits than its factorization.

3006962464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The square root of 3006962464 is about 54835.7772261869. Note that the first 3 decimals coincide. The cubic root of 3006962464 is about 1443.3644428020.

The spelling of 3006962464 in words is "three billion, six million, nine hundred sixty-two thousand, four hundred sixty-four".