3838527221760 has 2808 divisors, whose sum is σ = 17863940751696. Its totient is φ = 782566686720.

The previous prime is 3838527221743. The next prime is 3838527221807. The reversal of 3838527221760 is 671227258383.

3838527221760 is a `hidden beast` number, since 3 + 8 + 38 + 527 + 2 + 21 + 7 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3838527221697 and 3838527221706.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 72425041894 + ... + 72425041946.

It is an arithmetic number, because the mean of its divisors is an integer number (6361802262).

Almost surely, 2^{3838527221760} is an apocalyptic number.

3838527221760 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 3838527221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8931970375848).

3838527221760 is an abundant number, since it is smaller than the sum of its proper divisors (14025413529936).

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

3838527221760 is an frugal number, since it uses more digits than its factorization.

3838527221760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 3838527221760 in words is "three trillion, eight hundred thirty-eight billion, five hundred twenty-seven million, two hundred twenty-one thousand, seven hundred sixty".