3613204305216 has 336 divisors, whose sum is σ = 11717973820800. Its totient is φ = 1054416384000.

The previous prime is 3613204305199. The next prime is 3613204305229. The reversal of 3613204305216 is 6125034023163.

3613204305216 is a `hidden beast` number, since 3 + 6 + 1 + 3 + 2 + 0 + 430 + 5 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71451141 + ... + 71501691.

Almost surely, 2^{3613204305216} is an apocalyptic number.

3613204305216 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 3613204305216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5858986910400).

3613204305216 is an abundant number, since it is smaller than the sum of its proper divisors (8104769515584).

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

3613204305216 is a wasteful number, since it uses less digits than its factorization.

3613204305216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50998 (or 50985 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 3613204305216 its reverse (6125034023163), we get a palindrome (9738238328379).

The spelling of 3613204305216 in words is "three trillion, six hundred thirteen billion, two hundred four million, three hundred five thousand, two hundred sixteen".