3805008480 has 384 divisors, whose sum is σ = 16392499200. Its totient is φ = 802732032.

The previous prime is 3805008443. The next prime is 3805008491. The reversal of 3805008480 is 848005083.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 388281 + ... + 397959.

It is an arithmetic number, because the mean of its divisors is an integer number (42688800).

Almost surely, 2^3805008480 is an apocalyptic number.

3805008480 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 3805008480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8196249600).

3805008480 is an abundant number, since it is smaller than the sum of its proper divisors (12587490720).

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

3805008480 is a wasteful number, since it uses less digits than its factorization.

3805008480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9723 (or 9709 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 3805008480 is about 61684.7507898022. The cubic root of 3805008480 is about 1561.1760362764.

The spelling of 3805008480 in words is "three billion, eight hundred five million, eight thousand, four hundred eighty".