3827057472 has 84 divisors (see below), whose sum is σ = 12536663776. Its totient is φ = 1093443840.

The previous prime is 3827057431. The next prime is 3827057473. The reversal of 3827057472 is 2747507283.

3827057472 is a `hidden beast` number, since 3 + 8 + 2 + 7 + 0 + 574 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3827057473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 470554 + ... + 478617.

Almost surely, 2^3827057472 is an apocalyptic number.

3827057472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3827057472 is an abundant number, since it is smaller than the sum of its proper divisors (8709606304).

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

3827057472 is a wasteful number, since it uses less digits than its factorization.

3827057472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949196 (or 949183 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The square root of 3827057472 is about 61863.2158232984. The cubic root of 3827057472 is about 1564.1857607778.

The spelling of 3827057472 in words is "three billion, eight hundred twenty-seven million, fifty-seven thousand, four hundred seventy-two".