3785445873 has 64 divisors (see below), whose sum is σ = 6221664000. Its totient is φ = 2255662080.

The previous prime is 3785445857. The next prime is 3785445877.

It is a happy number.

3785445873 is a `hidden beast` number, since 3 + 7 + 8 + 54 + 4 + 587 + 3 = 666.

3785445873 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3785445873 - 2⁴ = 3785445857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3785445877) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5000211 + ... + 5000967.

It is an arithmetic number, because the mean of its divisors is an integer number (97213500).

Almost surely, 2^3785445873 is an apocalyptic number.

3785445873 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3785445873 is a deficient number, since it is larger than the sum of its proper divisors (2436218127).

3785445873 is a wasteful number, since it uses less digits than its factorization.

3785445873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1033 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The square root of 3785445873 is about 61525.9772210080. The cubic root of 3785445873 is about 1558.4959579190.

The spelling of 3785445873 in words is "three billion, seven hundred eighty-five million, four hundred forty-five thousand, eight hundred seventy-three".