3793168944 has 120 divisors (see below), whose sum is σ = 10760835072. Its totient is φ = 1247218560.

The previous prime is 3793168943. The next prime is 3793168961. The reversal of 3793168944 is 4498613973.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3793168943) 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 23 ways as a sum of consecutive naturals, for example, 3858277 + ... + 3859259.

Almost surely, 2^3793168944 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 3793168944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5380417536).

3793168944 is an abundant number, since it is smaller than the sum of its proper divisors (6967666128).

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

3793168944 is a wasteful number, since it uses less digits than its factorization.

3793168944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1326 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 3793168944 is about 61588.7079260476. The cubic root of 3793168944 is about 1559.5551196896. Note that the first 3 decimals are identical.

The spelling of 3793168944 in words is "three billion, seven hundred ninety-three million, one hundred sixty-eight thousand, nine hundred forty-four".