3192977664 has 288 divisors, whose sum is σ = 10198742400. Its totient is φ = 982056960.

The previous prime is 3192977663. The next prime is 3192977699. The reversal of 3192977664 is 4667792913.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3192977664.

It is not an unprimeable number, because it can be changed into a prime (3192977663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5384152 + ... + 5384744.

It is an arithmetic number, because the mean of its divisors is an integer number (35412300).

Almost surely, 2^3192977664 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 3192977664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5099371200).

3192977664 is an abundant number, since it is smaller than the sum of its proper divisors (7005764736).

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

3192977664 is a wasteful number, since it uses less digits than its factorization.

3192977664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 658 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 3192977664 is about 56506.4391375001. The cubic root of 3192977664 is about 1472.5338721967.

The spelling of 3192977664 in words is "three billion, one hundred ninety-two million, nine hundred seventy-seven thousand, six hundred sixty-four".