3686961034240 has 352 divisors, whose sum is σ = 10029047301504. Its totient is φ = 1288700559360.

The previous prime is 3686961034171. The next prime is 3686961034259. The reversal of 3686961034240 is 424301696863.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172948062 + ... + 172969378.

It is an arithmetic number, because the mean of its divisors is an integer number (28491611652).

Almost surely, 2^{3686961034240} 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 3686961034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5014523650752).

3686961034240 is an abundant number, since it is smaller than the sum of its proper divisors (6342086267264).

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

3686961034240 is a wasteful number, since it uses less digits than its factorization.

3686961034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21473 (or 21455 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 52.

The spelling of 3686961034240 in words is "three trillion, six hundred eighty-six billion, nine hundred sixty-one million, thirty-four thousand, two hundred forty".