2966343672 has 64 divisors (see below), whose sum is σ = 7759572480. Its totient is φ = 943189632.

The previous prime is 2966343661. The next prime is 2966343673. The reversal of 2966343672 is 2763436692.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2966343673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198693 + ... + 213099.

It is an arithmetic number, because the mean of its divisors is an integer number (121243320).

Almost surely, 2^2966343672 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 2966343672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3879786240).

2966343672 is an abundant number, since it is smaller than the sum of its proper divisors (4793228808).

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

2966343672 is a wasteful number, since it uses less digits than its factorization.

2966343672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14812 (or 14808 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 48.

The square root of 2966343672 is about 54464.1503376303. The cubic root of 2966343672 is about 1436.8358494878.

The spelling of 2966343672 in words is "two billion, nine hundred sixty-six million, three hundred forty-three thousand, six hundred seventy-two".