3681168120 has 576 divisors, whose sum is σ = 14789174400. Its totient is φ = 820834560.

The previous prime is 3681168089. The next prime is 3681168121. The reversal of 3681168120 is 218611863.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3681168121) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28100455 + ... + 28100585.

It is an arithmetic number, because the mean of its divisors is an integer number (25675650).

Almost surely, 2^3681168120 is an apocalyptic number.

3681168120 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 3681168120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7394587200).

3681168120 is an abundant number, since it is smaller than the sum of its proper divisors (11108006280).

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

3681168120 is a wasteful number, since it uses less digits than its factorization.

3681168120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 3681168120 is about 60672.6307324810. The cubic root of 3681168120 is about 1544.0518643034.

Adding to 3681168120 its reverse (218611863), we get a palindrome (3899779983).

The spelling of 3681168120 in words is "three billion, six hundred eighty-one million, one hundred sixty-eight thousand, one hundred twenty".