3727664272656 has 405 divisors, whose sum is σ = 11129881802533. Its totient is φ = 1209400502400.

The previous prime is 3727664272637. The next prime is 3727664272679. The reversal of 3727664272656 is 6562724667273.

The square root of 3727664272656 is 1930716.

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

3727664272656 is a `hidden beast` number, since 3 + 72 + 76 + 6 + 427 + 26 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3581495690256 + 146168582400 = 1892484^2 + 382320^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3727664272593 and 3727664272602.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 36907567006 + ... + 36907567106.

Almost surely, 2^{3727664272656} is an apocalyptic number.

3727664272656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3727664272656 is the 1930716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3727664272656

3727664272656 is an abundant number, since it is smaller than the sum of its proper divisors (7402217529877).

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

3727664272656 is an frugal number, since it uses more digits than its factorization.

3727664272656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 165 counting only the distinct ones).

The product of its digits is 213373440, while the sum is 63.

The spelling of 3727664272656 in words is "three trillion, seven hundred twenty-seven billion, six hundred sixty-four million, two hundred seventy-two thousand, six hundred fifty-six".