3605010000000 has 256 divisors, whose sum is σ = 11969828732160. Its totient is φ = 961328000000.

The previous prime is 3605009999989. The next prime is 3605010000041. The reversal of 3605010000000 is 105063.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29939917 + ... + 30060083.

It is an arithmetic number, because the mean of its divisors is an integer number (46757143485).

Almost surely, 2^{3605010000000} is an apocalyptic number.

3605010000000 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 3605010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5984914366080).

3605010000000 is an abundant number, since it is smaller than the sum of its proper divisors (8364818732160).

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

3605010000000 is an frugal number, since it uses more digits than its factorization.

3605010000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120219 (or 120177 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 3605010000000 its reverse (105063), we get a palindrome (3605010105063).

The spelling of 3605010000000 in words is "three trillion, six hundred five billion, ten million", and thus it is an aban number.