3182441668380 has 384 divisors, whose sum is σ = 11164267376640. Its totient is φ = 746742205440.

The previous prime is 3182441668379. The next prime is 3182441668381. The reversal of 3182441668380 is 838661442813.

It is a happy number.

3182441668380 is a `hidden beast` number, since 3 + 1 + 8 + 244 + 16 + 6 + 8 + 380 = 666.

It is an interprime number because it is at equal distance from previous prime (3182441668379) and next prime (3182441668381).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3182441668381) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47274145 + ... + 47341415.

It is an arithmetic number, because the mean of its divisors is an integer number (29073612960).

Almost surely, 2^{3182441668380} is an apocalyptic number.

3182441668380 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 3182441668380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5582133688320).

3182441668380 is an abundant number, since it is smaller than the sum of its proper divisors (7981825708260).

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

3182441668380 is a wasteful number, since it uses less digits than its factorization.

3182441668380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67618 (or 67610 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 3182441668380 in words is "three trillion, one hundred eighty-two billion, four hundred forty-one million, six hundred sixty-eight thousand, three hundred eighty".