3838628724 has 96 divisors (see below), whose sum is σ = 10399716096. Its totient is φ = 1079377920.

The previous prime is 3838628669. The next prime is 3838628753. The reversal of 3838628724 is 4278268383.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1571344 + ... + 1573784.

It is an arithmetic number, because the mean of its divisors is an integer number (108330376).

Almost surely, 2^3838628724 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 3838628724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5199858048).

3838628724 is an abundant number, since it is smaller than the sum of its proper divisors (6561087372).

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

3838628724 is a wasteful number, since it uses less digits than its factorization.

3838628724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2743 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 51.

The square root of 3838628724 is about 61956.6681157081. The cubic root of 3838628724 is about 1565.7606327458.

The spelling of 3838628724 in words is "three billion, eight hundred thirty-eight million, six hundred twenty-eight thousand, seven hundred twenty-four".