3766964711689 has 9 divisors (see below), whose sum is σ = 3780965397351. Its totient is φ = 3753015700560.

The previous prime is 3766964711677. The next prime is 3766964711717. The reversal of 3766964711689 is 9861174696673.

The square root of 3766964711689 is 1940867.

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., 2545674497289 + 1221290214400 = 1595517^2 + 1105120^2 .

It is not a de Polignac number, because 3766964711689 - 2¹³ = 3766964703497 is a prime.

It is a super-2 number, since 2×3766964711689² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3766964712689) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 545380174 + ... + 545387080.

Almost surely, 2^{3766964711689} is an apocalyptic number.

3766964711689 is the 1940867-th square number.

3766964711689 is the 970434-th centered octagonal number.

It is an amenable number.

3766964711689 is a deficient number, since it is larger than the sum of its proper divisors (14000685662).

3766964711689 is an frugal number, since it uses more digits than its factorization.

3766964711689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14376 (or 7188 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 73.

The spelling of 3766964711689 in words is "three trillion, seven hundred sixty-six billion, nine hundred sixty-four million, seven hundred eleven thousand, six hundred eighty-nine".