3783816144 has 30 divisors (see below), whose sum is σ = 10589430306. Its totient is φ = 1261272000.

The previous prime is 3783816097. The next prime is 3783816149. The reversal of 3783816144 is 4416183873.

It can be written as a sum of positive squares in only one way, i.e., 3783726144 + 90000 = 61512^2 + 300^2 .

It is a super-2 number, since 2×3783816144² = 28634529223190057472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3783816144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3783816149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13138107 + ... + 13138394.

Almost surely, 2^3783816144 is an apocalyptic number.

It is an amenable number.

3783816144 is an abundant number, since it is smaller than the sum of its proper divisors (6805614162).

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

3783816144 is a wasteful number, since it uses less digits than its factorization.

3783816144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26276515 (or 26276506 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 3783816144 is about 61512.7315602226. The cubic root of 3783816144 is about 1558.2722686688.

The spelling of 3783816144 in words is "three billion, seven hundred eighty-three million, eight hundred sixteen thousand, one hundred forty-four".