3683968342000 has 160 divisors (see below), whose sum is σ = 8955678139200. Its totient is φ = 1465686144000.

The previous prime is 3683968341941. The next prime is 3683968342037. The reversal of 3683968342000 is 2438693863.

It is a congruent number.

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, 536314566 + ... + 536321434.

It is an arithmetic number, because the mean of its divisors is an integer number (55972988370).

Almost surely, 2^{3683968342000} 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 3683968342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4477839069600).

3683968342000 is an abundant number, since it is smaller than the sum of its proper divisors (5271709797200).

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

3683968342000 is a wasteful number, since it uses less digits than its factorization.

3683968342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8292 (or 8276 counting only the distinct ones).

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

The spelling of 3683968342000 in words is "three trillion, six hundred eighty-three billion, nine hundred sixty-eight million, three hundred forty-two thousand".