3680036360000 has 560 divisors, whose sum is σ = 12252276516480. Its totient is φ = 1058780160000.

The previous prime is 3680036359841. The next prime is 3680036360023. The reversal of 3680036360000 is 636300863.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×3680036360000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39994046 + ... + 40085954.

It is an arithmetic number, because the mean of its divisors is an integer number (21879065208).

Almost surely, 2^{3680036360000} 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 3680036360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6126138258240).

3680036360000 is an abundant number, since it is smaller than the sum of its proper divisors (8572240156480).

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

3680036360000 is a wasteful number, since it uses less digits than its factorization.

3680036360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91972 (or 91947 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 35.

The spelling of 3680036360000 in words is "three trillion, six hundred eighty billion, thirty-six million, three hundred sixty thousand".