3603181680 has 720 divisors, whose sum is σ = 15004289664. Its totient is φ = 771563520.

The previous prime is 3603181579. The next prime is 3603181697. The reversal of 3603181680 is 861813063.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67984534 + ... + 67984586.

Almost surely, 2^3603181680 is an apocalyptic number.

3603181680 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 3603181680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7502144832).

3603181680 is an abundant number, since it is smaller than the sum of its proper divisors (11401107984).

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

3603181680 is a wasteful number, since it uses less digits than its factorization.

3603181680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3603181680 is about 60026.5081443190. The cubic root of 3603181680 is about 1533.0702413552.

It can be divided in two parts, 36031 and 81680, that added together give a palindrome (117711).

The spelling of 3603181680 in words is "three billion, six hundred three million, one hundred eighty-one thousand, six hundred eighty".