3801338784 has 72 divisors (see below), whose sum is σ = 10829522340. Its totient is φ = 1264831488.

The previous prime is 3801338773. The next prime is 3801338791. The reversal of 3801338784 is 4878331083.

It can be written as a sum of positive squares in 2 ways, for example, as 2875962384 + 925376400 = 53628^2 + 30420^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152274 + ... + 175470.

Almost surely, 2^3801338784 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 3801338784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5414761170).

3801338784 is an abundant number, since it is smaller than the sum of its proper divisors (7028183556).

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

3801338784 is a wasteful number, since it uses less digits than its factorization.

3801338784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23782 (or 23771 counting only the distinct ones).

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

The square root of 3801338784 is about 61654.9980455762. The cubic root of 3801338784 is about 1560.6739888440.

The spelling of 3801338784 in words is "three billion, eight hundred one million, three hundred thirty-eight thousand, seven hundred eighty-four".