3838520667600 has 180 divisors, whose sum is σ = 13325493542400. Its totient is φ = 1023239696640.

The previous prime is 3838520667533. The next prime is 3838520667601. The reversal of 3838520667600 is 67660258383.

3838520667600 is a `hidden beast` number, since 3 + 8 + 3 + 8 + 5 + 20 + 6 + 6 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3838520667601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9959281 + ... + 10337519.

It is an arithmetic number, because the mean of its divisors is an integer number (74030519680).

Almost surely, 2^{3838520667600} is an apocalyptic number.

3838520667600 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 3838520667600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6662746771200).

3838520667600 is an abundant number, since it is smaller than the sum of its proper divisors (9486972874800).

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

3838520667600 is a wasteful number, since it uses less digits than its factorization.

3838520667600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381082 (or 381068 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 3838520667600 in words is "three trillion, eight hundred thirty-eight billion, five hundred twenty million, six hundred sixty-seven thousand, six hundred".