3845468160 has 312 divisors, whose sum is σ = 13779752064. Its totient is φ = 990904320.

The previous prime is 3845468147. The next prime is 3845468167. The reversal of 3845468160 is 618645483.

3845468160 is a `hidden beast` number, since 38 + 454 + 6 + 8 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3845468167) 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 23 ways as a sum of consecutive naturals, for example, 5713584 + ... + 5714256.

It is an arithmetic number, because the mean of its divisors is an integer number (44165872).

Almost surely, 2^3845468160 is an apocalyptic number.

3845468160 is a gapful number since it is divisible by the number (30) 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 3845468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6889876032).

3845468160 is an abundant number, since it is smaller than the sum of its proper divisors (9934283904).

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

3845468160 is a wasteful number, since it uses less digits than its factorization.

3845468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3845468160 is about 62011.8388696868. The cubic root of 3845468160 is about 1566.6900067948.

The spelling of 3845468160 in words is "three billion, eight hundred forty-five million, four hundred sixty-eight thousand, one hundred sixty".