3006939936 has 576 divisors, whose sum is σ = 11156382720. Its totient is φ = 687697920.

The previous prime is 3006939919. The next prime is 3006939941. The reversal of 3006939936 is 6399396003.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 36228151 + ... + 36228233.

It is an arithmetic number, because the mean of its divisors is an integer number (19368720).

Almost surely, 2^3006939936 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 3006939936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5578191360).

3006939936 is an abundant number, since it is smaller than the sum of its proper divisors (8149442784).

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

3006939936 is a wasteful number, since it uses less digits than its factorization.

3006939936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 708588, while the sum is 48.

The square root of 3006939936 is about 54835.5718124649. The cubic root of 3006939936 is about 1443.3608382569.

The spelling of 3006939936 in words is "three billion, six million, nine hundred thirty-nine thousand, nine hundred thirty-six".