3827469657664 has 189 divisors, whose sum is σ = 8188287123393. Its totient is φ = 1774838822400.

The previous prime is 3827469657629. The next prime is 3827469657689. The reversal of 3827469657664 is 4667569647283.

The square root of 3827469657664 is 1956392.

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

It can be written as a sum of positive squares in only one way, i.e., 124462195264 + 3703007462400 = 352792^2 + 1924320^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18139666519 + ... + 18139666729.

Almost surely, 2^{3827469657664} is an apocalyptic number.

3827469657664 is the 1956392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3827469657664

3827469657664 is an abundant number, since it is smaller than the sum of its proper divisors (4360817465729).

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

3827469657664 is an frugal number, since it uses more digits than its factorization.

3827469657664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 293 counting only the distinct ones).

The product of its digits is 2194698240, while the sum is 73.

The spelling of 3827469657664 in words is "three trillion, eight hundred twenty-seven billion, four hundred sixty-nine million, six hundred fifty-seven thousand, six hundred sixty-four".