3006976320 has 168 divisors, whose sum is σ = 10951320744. Its totient is φ = 754679808.

The previous prime is 3006976307. The next prime is 3006976363. The reversal of 3006976320 is 236796003.

It can be written as a sum of positive squares in 4 ways, for example, as 403527744 + 2603448576 = 20088^2 + 51024^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18252 + ... + 79668.

It is an arithmetic number, because the mean of its divisors is an integer number (65186433).

Almost surely, 2^3006976320 is an apocalyptic number.

3006976320 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 3006976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5475660372).

3006976320 is an abundant number, since it is smaller than the sum of its proper divisors (7944344424).

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

3006976320 is a wasteful number, since it uses less digits than its factorization.

3006976320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61457 (or 61444 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3006976320 is about 54835.9035669150. The cubic root of 3006976320 is about 1443.3666597931.

The spelling of 3006976320 in words is "three billion, six million, nine hundred seventy-six thousand, three hundred twenty".