3680389142784 has 288 divisors, whose sum is σ = 11211139197440. Its totient is φ = 1190069895168.

The previous prime is 3680389142777. The next prime is 3680389142831. The reversal of 3680389142784 is 4872419830863.

3680389142784 is a `hidden beast` number, since 36 + 8 + 0 + 389 + 142 + 7 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86164377 + ... + 86207079.

Almost surely, 2^{3680389142784} 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 3680389142784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5605569598720).

3680389142784 is an abundant number, since it is smaller than the sum of its proper divisors (7530750054656).

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

3680389142784 is a wasteful number, since it uses less digits than its factorization.

3680389142784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43102 (or 43082 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 3680389142784 in words is "three trillion, six hundred eighty billion, three hundred eighty-nine million, one hundred forty-two thousand, seven hundred eighty-four".