3846601083648 has 144 divisors (see below), whose sum is σ = 10699377325056. Its totient is φ = 1224535572480.

The previous prime is 3846601083629. The next prime is 3846601083679. The reversal of 3846601083648 is 8463801066483.

3846601083648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11152761 + ... + 11492487.

It is an arithmetic number, because the mean of its divisors is an integer number (74301231424).

Almost surely, 2^{3846601083648} 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 3846601083648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5349688662528).

3846601083648 is an abundant number, since it is smaller than the sum of its proper divisors (6852776241408).

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

3846601083648 is a wasteful number, since it uses less digits than its factorization.

3846601083648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340410 (or 340396 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 57.

The spelling of 3846601083648 in words is "three trillion, eight hundred forty-six billion, six hundred one million, eighty-three thousand, six hundred forty-eight".