3877323304464 has 225 divisors, whose sum is σ = 11376196317343. Its totient is φ = 1274931935424.

The previous prime is 3877323304453. The next prime is 3877323304471. The reversal of 3877323304464 is 4644033237783.

The square root of 3877323304464 is 1969092.

It is a perfect power (a square), and thus also a powerful number.

3877323304464 is a `hidden beast` number, since 3 + 8 + 7 + 7 + 323 + 304 + 4 + 6 + 4 = 666.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3877323304464.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 5883646567 + ... + 5883647225.

Almost surely, 2^{3877323304464} is an apocalyptic number.

3877323304464 is the 1969092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3877323304464

3877323304464 is an abundant number, since it is smaller than the sum of its proper divisors (7498873012879).

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

3877323304464 is an frugal number, since it uses more digits than its factorization.

3877323304464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 54.

The spelling of 3877323304464 in words is "three trillion, eight hundred seventy-seven billion, three hundred twenty-three million, three hundred four thousand, four hundred sixty-four".