3643086000120 has 192 divisors, whose sum is σ = 12714718625280. Its totient is φ = 832633853184.

The previous prime is 3643086000053. The next prime is 3643086000121. The reversal of 3643086000120 is 210006803463.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3643086000121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101159157 + ... + 101195163.

It is an arithmetic number, because the mean of its divisors is an integer number (66222492840).

Almost surely, 2^{3643086000120} is an apocalyptic number.

3643086000120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3643086000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6357359312640).

3643086000120 is an abundant number, since it is smaller than the sum of its proper divisors (9071632625160).

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

3643086000120 is a wasteful number, since it uses less digits than its factorization.

3643086000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53242 (or 53231 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 3643086000120 in words is "three trillion, six hundred forty-three billion, eighty-six million, one hundred twenty", and thus it is an aban number.