3577968672768 has 1080 divisors, whose sum is σ = 12878296048800. Its totient is φ = 951565418496.

The previous prime is 3577968672767. The next prime is 3577968672899. The reversal of 3577968672768 is 8672768697753.

3577968672768 is a `hidden beast` number, since 357 + 79 + 68 + 6 + 72 + 76 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3577968672763) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 9197862718 + ... + 9197863106.

Almost surely, 2^{3577968672768} is an apocalyptic number.

3577968672768 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 3577968672768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6439148024400).

3577968672768 is an abundant number, since it is smaller than the sum of its proper divisors (9300327376032).

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

3577968672768 is a wasteful number, since it uses less digits than its factorization.

3577968672768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 487 counting only the distinct ones).

The product of its digits is 8961684480, while the sum is 81.

The spelling of 3577968672768 in words is "three trillion, five hundred seventy-seven billion, nine hundred sixty-eight million, six hundred seventy-two thousand, seven hundred sixty-eight".