3742110880 has 96 divisors (see below), whose sum is σ = 9059420160. Its totient is φ = 1460229120.

The previous prime is 3742110863. The next prime is 3742110881. The reversal of 3742110880 is 880112473.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3742110881) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1238011 + ... + 1241029.

It is an arithmetic number, because the mean of its divisors is an integer number (94368960).

Almost surely, 2^3742110880 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 3742110880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4529710080).

3742110880 is an abundant number, since it is smaller than the sum of its proper divisors (5317309280).

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

3742110880 is a wasteful number, since it uses less digits than its factorization.

3742110880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 3742110880 is about 61172.7952606385. The cubic root of 3742110880 is about 1552.5260067403.

The spelling of 3742110880 in words is "three billion, seven hundred forty-two million, one hundred ten thousand, eight hundred eighty".