3613306389660 has 336 divisors, whose sum is σ = 12490094931552. Its totient is φ = 870367680000.

The previous prime is 3613306389601. The next prime is 3613306389677. The reversal of 3613306389660 is 669836033163.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3613306389597 and 3613306389606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 25107910 + ... + 25251410.

It is an arithmetic number, because the mean of its divisors is an integer number (37172901582).

Almost surely, 2^{3613306389660} is an apocalyptic number.

3613306389660 is a gapful number since it is divisible by the number (30) 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 3613306389660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6245047465776).

3613306389660 is an abundant number, since it is smaller than the sum of its proper divisors (8876788541892).

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

3613306389660 is a wasteful number, since it uses less digits than its factorization.

3613306389660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143696 (or 143679 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 54.

The spelling of 3613306389660 in words is "three trillion, six hundred thirteen billion, three hundred six million, three hundred eighty-nine thousand, six hundred sixty".