3618320309136 has 720 divisors, whose sum is σ = 11486266331904. Its totient is φ = 1062080667648.

The previous prime is 3618320308979. The next prime is 3618320309141. The reversal of 3618320309136 is 6319030238163.

3618320309136 is a `hidden beast` number, since 3 + 6 + 1 + 8 + 320 + 309 + 13 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3618320309091 and 3618320309100.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7814946441 + ... + 7814946903.

Almost surely, 2^{3618320309136} is an apocalyptic number.

3618320309136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3618320309136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5743133165952).

3618320309136 is an abundant number, since it is smaller than the sum of its proper divisors (7867946022768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3618320309136 is a wasteful number, since it uses less digits than its factorization.

3618320309136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 3618320309136 in words is "three trillion, six hundred eighteen billion, three hundred twenty million, three hundred nine thousand, one hundred thirty-six".