3615301395216 has 480 divisors, whose sum is σ = 11877079818240. Its totient is φ = 1005264000000.

The previous prime is 3615301395191. The next prime is 3615301395217. The reversal of 3615301395216 is 6125931035163.

3615301395216 is a `hidden beast` number, since 3 + 6 + 1 + 530 + 1 + 3 + 95 + 21 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (3615301395217) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4813982841 + ... + 4813983591.

It is an arithmetic number, because the mean of its divisors is an integer number (24743916288).

Almost surely, 2^{3615301395216} is an apocalyptic number.

3615301395216 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 3615301395216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5938539909120).

3615301395216 is an abundant number, since it is smaller than the sum of its proper divisors (8261778423024).

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

3615301395216 is a wasteful number, since it uses less digits than its factorization.

3615301395216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 3615301395216 in words is "three trillion, six hundred fifteen billion, three hundred one million, three hundred ninety-five thousand, two hundred sixteen".