3768420449088 has 420 divisors, whose sum is σ = 11382256684260. Its totient is φ = 1232775438336.

The previous prime is 3768420449081. The next prime is 3768420449089. The reversal of 3768420449088 is 8809440248673.

3768420449088 is a `hidden beast` number, since 3 + 7 + 6 + 8 + 420 + 44 + 90 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 330036462144 + 3438383986944 = 574488^2 + 1854288^2 .

It is a super-2 number, since 2×3768420449088² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3768420449081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8703049320 + ... + 8703049752.

It is an arithmetic number, because the mean of its divisors is an integer number (27100611153).

Almost surely, 2^{3768420449088} 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 3768420449088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5691128342130).

3768420449088 is an abundant number, since it is smaller than the sum of its proper divisors (7613836235172).

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

3768420449088 is an equidigital number, since it uses as much as digits as its factorization.

3768420449088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 3768420449088 in words is "three trillion, seven hundred sixty-eight billion, four hundred twenty million, four hundred forty-nine thousand, eighty-eight".