3621120768 has 144 divisors (see below), whose sum is σ = 11338558560. Its totient is φ = 1136001024.

The previous prime is 3621120743. The next prime is 3621120791. The reversal of 3621120768 is 8670211263.

3621120768 is a `hidden beast` number, since 3 + 621 + 1 + 20 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3621120768² = 26225031232881819648, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102096 + ... + 132912.

It is an arithmetic number, because the mean of its divisors is an integer number (78739990).

Almost surely, 2^3621120768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3621120768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5669279280).

3621120768 is an abundant number, since it is smaller than the sum of its proper divisors (7717437792).

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

3621120768 is a wasteful number, since it uses less digits than its factorization.

3621120768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30859 (or 30839 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3621120768 is about 60175.7490024013. The cubic root of 3621120768 is about 1535.6102526757.

The spelling of 3621120768 in words is "three billion, six hundred twenty-one million, one hundred twenty thousand, seven hundred sixty-eight".