3680181120 has 768 divisors, whose sum is σ = 15419658240. Its totient is φ = 729907200.

The previous prime is 3680181119. The next prime is 3680181121. The reversal of 3680181120 is 211810863.

3680181120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3680181119) and next prime (3680181121).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3680181121) 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, 50413404 + ... + 50413476.

It is an arithmetic number, because the mean of its divisors is an integer number (20077680).

Almost surely, 2^3680181120 is an apocalyptic number.

3680181120 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 3680181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7709829120).

3680181120 is an abundant number, since it is smaller than the sum of its proper divisors (11739477120).

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

3680181120 is a wasteful number, since it uses less digits than its factorization.

3680181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 3680181120 is about 60664.4963714362. The cubic root of 3680181120 is about 1543.9138541787.

Adding to 3680181120 its reverse (211810863), we get a palindrome (3891991983).

The spelling of 3680181120 in words is "three billion, six hundred eighty million, one hundred eighty-one thousand, one hundred twenty".