3146032768 has 64 divisors (see below), whose sum is σ = 6810336000. Its totient is φ = 1442119680.

The previous prime is 3146032717. The next prime is 3146032789. The reversal of 3146032768 is 8672306413.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 3146032768.

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 7 ways as a sum of consecutive naturals, for example, 54528 + ... + 96256.

It is an arithmetic number, because the mean of its divisors is an integer number (106411500).

Almost surely, 2^3146032768 is an apocalyptic number.

3146032768 is a gapful number since it is divisible by the number (38) 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 3146032768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405168000).

3146032768 is an abundant number, since it is smaller than the sum of its proper divisors (3664303232).

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

3146032768 is a wasteful number, since it uses less digits than its factorization.

3146032768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41793 (or 41781 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 3146032768 is about 56089.5067548289. The cubic root of 3146032768 is about 1465.2815477703.

The spelling of 3146032768 in words is "three billion, one hundred forty-six million, thirty-two thousand, seven hundred sixty-eight".