3845505312 has 288 divisors, whose sum is σ = 12503574720. Its totient is φ = 1110620160.

The previous prime is 3845505311. The next prime is 3845505319. The reversal of 3845505312 is 2135055483.

3845505312 is a `hidden beast` number, since 38 + 45 + 50 + 531 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3845505312² = 29575822209240434688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3845505311) 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 47 ways as a sum of consecutive naturals, for example, 6212139 + ... + 6212757.

It is an arithmetic number, because the mean of its divisors is an integer number (43415190).

Almost surely, 2^3845505312 is an apocalyptic number.

3845505312 is a gapful number since it is divisible by the number (32) 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 3845505312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6251787360).

3845505312 is an abundant number, since it is smaller than the sum of its proper divisors (8658069408).

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

3845505312 is a wasteful number, since it uses less digits than its factorization.

3845505312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 3845505312 is about 62012.1384246665. The cubic root of 3845505312 is about 1566.6950521692.

The spelling of 3845505312 in words is "three billion, eight hundred forty-five million, five hundred five thousand, three hundred twelve".