3845844360 has 192 divisors, whose sum is σ = 13098758400. Its totient is φ = 1014736896.

The previous prime is 3845844341. The next prime is 3845844371. The reversal of 3845844360 is 634485483.

3845844360 is a `hidden beast` number, since 3 + 8 + 4 + 584 + 4 + 3 + 60 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 940801 + ... + 944879.

It is an arithmetic number, because the mean of its divisors is an integer number (68222700).

Almost surely, 2^3845844360 is an apocalyptic number.

3845844360 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 3845844360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6549379200).

3845844360 is an abundant number, since it is smaller than the sum of its proper divisors (9252914040).

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

3845844360 is a wasteful number, since it uses less digits than its factorization.

3845844360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 4186 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The square root of 3845844360 is about 62014.8720872663. The cubic root of 3845844360 is about 1566.7410945980.

The spelling of 3845844360 in words is "three billion, eight hundred forty-five million, eight hundred forty-four thousand, three hundred sixty".