3765005673 has 32 divisors (see below), whose sum is σ = 5908073472. Its totient is φ = 2102568000.

The previous prime is 3765005611. The next prime is 3765005731.

3765005673 is nontrivially palindromic in base 10.

3765005673 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3765005673 - 2⁶ = 3765005609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3765005473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244348 + ... + 259298.

It is an arithmetic number, because the mean of its divisors is an integer number (184627296).

Almost surely, 2^3765005673 is an apocalyptic number.

3765005673 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3765005673 is a deficient number, since it is larger than the sum of its proper divisors (2143067799).

3765005673 is a wasteful number, since it uses less digits than its factorization.

3765005673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15565.

The product of its (nonzero) digits is 396900, while the sum is 42.

The square root of 3765005673 is about 61359.6420540407. The cubic root of 3765005673 is about 1555.6857668055.

The spelling of 3765005673 in words is "three billion, seven hundred sixty-five million, five thousand, six hundred seventy-three".