3886618532160 has 448 divisors, whose sum is σ = 15677646372864. Its totient is φ = 793580544000.

The previous prime is 3886618532123. The next prime is 3886618532267. The reversal of 3886618532160 is 612358166883.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3886618532160² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3886618532160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1990585 + ... + 3425735.

It is an arithmetic number, because the mean of its divisors is an integer number (34994746368).

Almost surely, 2^{3886618532160} is an apocalyptic number.

3886618532160 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 3886618532160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7838823186432).

3886618532160 is an abundant number, since it is smaller than the sum of its proper divisors (11791027840704).

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

3886618532160 is a wasteful number, since it uses less digits than its factorization.

3886618532160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435222 (or 1435212 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 3886618532160 in words is "three trillion, eight hundred eighty-six billion, six hundred eighteen million, five hundred thirty-two thousand, one hundred sixty".