3865145436009 has 320 divisors, whose sum is σ = 7211325800448. Its totient is φ = 2030683737600.

The previous prime is 3865145436007. The next prime is 3865145436043. The reversal of 3865145436009 is 9006345415683.

3865145436009 is a `hidden beast` number, since 3 + 8 + 65 + 145 + 436 + 0 + 0 + 9 = 666.

It is not a de Polignac number, because 3865145436009 - 2¹ = 3865145436007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3865145436007) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2671143324 + ... + 2671144770.

Almost surely, 2^{3865145436009} is an apocalyptic number.

3865145436009 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

3865145436009 is a deficient number, since it is larger than the sum of its proper divisors (3346180364439).

3865145436009 is a wasteful number, since it uses less digits than its factorization.

3865145436009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 3865145436009 in words is "three trillion, eight hundred sixty-five billion, one hundred forty-five million, four hundred thirty-six thousand, nine".