3779009952 has 72 divisors (see below), whose sum is σ = 10273981536. Its totient is φ = 1216207104.

The previous prime is 3779009947. The next prime is 3779009953. The reversal of 3779009952 is 2599009773.

It is a happy number.

3779009952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3779009895 and 3779009904.

It is not an unprimeable number, because it can be changed into a prime (3779009953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57333 + ... + 104139.

It is an arithmetic number, because the mean of its divisors is an integer number (142694188).

Almost surely, 2^3779009952 is an apocalyptic number.

3779009952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3779009952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136990768).

3779009952 is an abundant number, since it is smaller than the sum of its proper divisors (6494971584).

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

3779009952 is a wasteful number, since it uses less digits than its factorization.

3779009952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46878 (or 46841 counting only the distinct ones).

The product of its (nonzero) digits is 1071630, while the sum is 51.

The square root of 3779009952 is about 61473.6525025153. The cubic root of 3779009952 is about 1557.6122181932.

The spelling of 3779009952 in words is "three billion, seven hundred seventy-nine million, nine thousand, nine hundred fifty-two".