3007980864 has 168 divisors, whose sum is σ = 9956401728. Its totient is φ = 850452480.

The previous prime is 3007980851. The next prime is 3007980869. The reversal of 3007980864 is 4680897003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3007980869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387259 + ... + 394949.

It is an arithmetic number, because the mean of its divisors is an integer number (59264296).

Almost surely, 2^3007980864 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 3007980864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4978200864).

3007980864 is an abundant number, since it is smaller than the sum of its proper divisors (6948420864).

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

3007980864 is a wasteful number, since it uses less digits than its factorization.

3007980864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7813 (or 7800 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3007980864 is about 54845.0623484011. The cubic root of 3007980864 is about 1443.5273709454.

The spelling of 3007980864 in words is "three billion, seven million, nine hundred eighty thousand, eight hundred sixty-four".