3845008440 has 864 divisors, whose sum is σ = 16962734880. Its totient is φ = 775982592.

The previous prime is 3845008429. The next prime is 3845008441. The reversal of 3845008440 is 448005483.

3845008440 is a `hidden beast` number, since 38 + 4 + 500 + 84 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3845008395 and 3845008404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3845008441) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 167174269 + ... + 167174291.

It is an arithmetic number, because the mean of its divisors is an integer number (19632795).

Almost surely, 2^3845008440 is an apocalyptic number.

3845008440 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 3845008440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8481367440).

3845008440 is an abundant number, since it is smaller than the sum of its proper divisors (13117726440).

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

3845008440 is a wasteful number, since it uses less digits than its factorization.

3845008440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 3845008440 is about 62008.1320473371. The cubic root of 3845008440 is about 1566.6275724866.

The spelling of 3845008440 in words is "three billion, eight hundred forty-five million, eight thousand, four hundred forty".