3612339913728 has 704 divisors, whose sum is σ = 12042258504192. Its totient is φ = 937395486720.

The previous prime is 3612339913727. The next prime is 3612339913751. The reversal of 3612339913728 is 8273199332163.

Its product of digits (8817984) is a multiple of the sum of its prime divisors (972).

It is not an unprimeable number, because it can be changed into a prime (3612339913727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5464961718 + ... + 5464962378.

Almost surely, 2^{3612339913728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3612339913728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6021129252096).

3612339913728 is an abundant number, since it is smaller than the sum of its proper divisors (8429918590464).

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

3612339913728 is a wasteful number, since it uses less digits than its factorization.

3612339913728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 972 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 57.

The spelling of 3612339913728 in words is "three trillion, six hundred twelve billion, three hundred thirty-nine million, nine hundred thirteen thousand, seven hundred twenty-eight".