3827054005092 has 72 divisors (see below), whose sum is σ = 9913079036952. Its totient is φ = 1244170137600.

The previous prime is 3827054005087. The next prime is 3827054005129. The reversal of 3827054005092 is 2905004507283.

3827054005092 is a `hidden beast` number, since 38 + 2 + 70 + 5 + 40 + 0 + 509 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 451551744576 + 3375502260516 = 671976^2 + 1837254^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4191208 + ... + 5021984.

It is an arithmetic number, because the mean of its divisors is an integer number (137681653291).

Almost surely, 2^{3827054005092} 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 3827054005092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4956539518476).

3827054005092 is an abundant number, since it is smaller than the sum of its proper divisors (6086025031860).

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

3827054005092 is a wasteful number, since it uses less digits than its factorization.

3827054005092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833949 (or 833944 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 3827054005092 in words is "three trillion, eight hundred twenty-seven billion, fifty-four million, five thousand, ninety-two".