3615300009009 has 72 divisors (see below), whose sum is σ = 5714171222760. Its totient is φ = 2189605727232.

The previous prime is 3615300008981. The next prime is 3615300009023. The reversal of 3615300009009 is 9009000035163.

3615300009009 is a `hidden beast` number, since 3 + 615 + 30 + 0 + 0 + 0 + 9 + 0 + 0 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 322425230625 + 3292874778384 = 567825^2 + 1814628^2 .

It is not a de Polignac number, because 3615300009009 - 2²⁰ = 3615298960433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3615300009029) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 750526969 + ... + 750531785.

It is an arithmetic number, because the mean of its divisors is an integer number (79363489205).

Almost surely, 2^{3615300009009} is an apocalyptic number.

3615300009009 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

3615300009009 is a deficient number, since it is larger than the sum of its proper divisors (2098871213751).

3615300009009 is a wasteful number, since it uses less digits than its factorization.

3615300009009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6399 (or 6329 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The spelling of 3615300009009 in words is "three trillion, six hundred fifteen billion, three hundred million, nine thousand, nine".