3772944953649 has 21 divisors (see below), whose sum is σ = 5656908309339. Its totient is φ = 2515261672440.

The previous prime is 3772944953647. The next prime is 3772944953663. The reversal of 3772944953649 is 9463594492773.

The square root of 3772944953649 is 1942407.

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

3772944953649 is a `hidden beast` number, since 3 + 7 + 7 + 2 + 9 + 4 + 49 + 536 + 49 = 666.

3772944953649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 626223743649 + 3146721210000 = 791343^2 + 1773900^2 .

It is not a de Polignac number, because 3772944953649 - 2¹ = 3772944953647 is a prime.

It is a super-2 number, since 2×3772944953649² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3772944953647) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 52409019 + ... + 52480959.

It is an arithmetic number, because the mean of its divisors is an integer number (269376586159).

Almost surely, 2^{3772944953649} is an apocalyptic number.

3772944953649 is the 1942407-th square number.

3772944953649 is the 971204-th centered octagonal number.

It is an amenable number.

3772944953649 is a deficient number, since it is larger than the sum of its proper divisors (1883963355690).

3772944953649 is an frugal number, since it uses more digits than its factorization.

3772944953649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143900 (or 71944 counting only the distinct ones).

The product of its digits is 1234517760, while the sum is 72.

The spelling of 3772944953649 in words is "three trillion, seven hundred seventy-two billion, nine hundred forty-four million, nine hundred fifty-three thousand, six hundred forty-nine".