3827605752 has 56 divisors (see below), whose sum is σ = 10760235240. Its totient is φ = 1275866640.

The previous prime is 3827605739. The next prime is 3827605757. The reversal of 3827605752 is 2575067283.

3827605752 is a `hidden beast` number, since 3 + 8 + 2 + 76 + 0 + 575 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3827605698 and 3827605707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3827605757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 322324 + ... + 333987.

Almost surely, 2^3827605752 is an apocalyptic number.

It is an amenable number.

3827605752 is an abundant number, since it is smaller than the sum of its proper divisors (6932629488).

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

3827605752 is an equidigital number, since it uses as much as digits as its factorization.

3827605752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656335 (or 656316 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 3827605752 is about 61867.6470540136. The cubic root of 3827605752 is about 1564.2604544402.

The spelling of 3827605752 in words is "three billion, eight hundred twenty-seven million, six hundred five thousand, seven hundred fifty-two".