3613428115680 has 288 divisors, whose sum is σ = 12453182717472. Its totient is φ = 877642874880.

The previous prime is 3613428115673. The next prime is 3613428115741. The reversal of 3613428115680 is 865118243163.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 47 ways as a sum of consecutive naturals, for example, 7611364 + ... + 8072156.

It is an arithmetic number, because the mean of its divisors is an integer number (43240217769).

Almost surely, 2^{3613428115680} is an apocalyptic number.

3613428115680 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 3613428115680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6226591358736).

3613428115680 is an abundant number, since it is smaller than the sum of its proper divisors (8839754601792).

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

3613428115680 is a wasteful number, since it uses less digits than its factorization.

3613428115680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460890 (or 460851 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 3613428115680 in words is "three trillion, six hundred thirteen billion, four hundred twenty-eight million, one hundred fifteen thousand, six hundred eighty".