3838147328520 has 320 divisors, whose sum is σ = 13482894625200. Its totient is φ = 978022563840.

The previous prime is 3838147328507. The next prime is 3838147328563. The reversal of 3838147328520 is 258237418383.

3838147328520 is a `hidden beast` number, since 3 + 8 + 3 + 81 + 4 + 7 + 32 + 8 + 520 = 666.

3838147328520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 666022474404 + 3172124854116 = 816102^2 + 1781046^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8903560 + ... + 9324680.

Almost surely, 2^{3838147328520} is an apocalyptic number.

3838147328520 is a gapful number since it is divisible by the number (30) 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 3838147328520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6741447312600).

3838147328520 is an abundant number, since it is smaller than the sum of its proper divisors (9644747296680).

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

3838147328520 is a wasteful number, since it uses less digits than its factorization.

3838147328520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421270 (or 421257 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 3838147328520 in words is "three trillion, eight hundred thirty-eight billion, one hundred forty-seven million, three hundred twenty-eight thousand, five hundred twenty".