3827506221 has 24 divisors (see below), whose sum is σ = 6892826304. Its totient is φ = 1988314560.

The previous prime is 3827506213. The next prime is 3827506223. The reversal of 3827506221 is 1226057283.

3827506221 is a `hidden beast` number, since 3 + 8 + 27 + 5 + 0 + 622 + 1 = 666.

It is not a de Polignac number, because 3827506221 - 2³ = 3827506213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3827506223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2760856 + ... + 2762241.

It is an arithmetic number, because the mean of its divisors is an integer number (287201096).

Almost surely, 2^3827506221 is an apocalyptic number.

It is an amenable number.

3827506221 is a deficient number, since it is larger than the sum of its proper divisors (3065320083).

3827506221 is a wasteful number, since it uses less digits than its factorization.

3827506221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5523121 (or 5523118 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3827506221 is about 61866.8426622856. The cubic root of 3827506221 is about 1564.2468955937.

The spelling of 3827506221 in words is "three billion, eight hundred twenty-seven million, five hundred six thousand, two hundred twenty-one".