3803618766080 has 288 divisors, whose sum is σ = 10873007308800. Its totient is φ = 1246492532736.

The previous prime is 3803618766041. The next prime is 3803618766083. The reversal of 3803618766080 is 806678163083.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3803618766083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321272801 + ... + 321284639.

It is an arithmetic number, because the mean of its divisors is an integer number (37753497600).

Almost surely, 2^{3803618766080} 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 3803618766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5436503654400).

3803618766080 is an abundant number, since it is smaller than the sum of its proper divisors (7069388542720).

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

3803618766080 is a wasteful number, since it uses less digits than its factorization.

3803618766080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13449 (or 13435 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 56.

The spelling of 3803618766080 in words is "three trillion, eight hundred three billion, six hundred eighteen million, seven hundred sixty-six thousand, eighty".