3681840000000 has 1056 divisors, whose sum is σ = 13265485571520. Its totient is φ = 906752000000.

The previous prime is 3681839999963. The next prime is 3681840000001. The reversal of 3681840000000 is 481863.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3681840000001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126959999986 + ... + 126960000014.

Almost surely, 2^{3681840000000} is an apocalyptic number.

3681840000000 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 3681840000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6632742785760).

3681840000000 is an abundant number, since it is smaller than the sum of its proper divisors (9583645571520).

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

3681840000000 is an frugal number, since it uses more digits than its factorization.

3681840000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 3681840000000 its reverse (481863), we get a palindrome (3681840481863).

The spelling of 3681840000000 in words is "three trillion, six hundred eighty-one billion, eight hundred forty million", and thus it is an aban number.