3640728036000 has 384 divisors, whose sum is σ = 13024549923840. Its totient is φ = 881702016000.

The previous prime is 3640728035993. The next prime is 3640728036067. The reversal of 3640728036000 is 6308270463.

It is a self number, because there is not a number n which added to its sum of digits gives 3640728036000.

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 63 ways as a sum of consecutive naturals, for example, 134494467 + ... + 134521533.

It is an arithmetic number, because the mean of its divisors is an integer number (33918098760).

Almost surely, 2^{3640728036000} is an apocalyptic number.

3640728036000 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 3640728036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6512274961920).

3640728036000 is an abundant number, since it is smaller than the sum of its proper divisors (9383821887840).

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

3640728036000 is a wasteful number, since it uses less digits than its factorization.

3640728036000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28125 (or 28107 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 3640728036000 in words is "three trillion, six hundred forty billion, seven hundred twenty-eight million, thirty-six thousand".