4005880380 has 96 divisors (see below), whose sum is σ = 12532665600. Its totient is φ = 1062241344.

The previous prime is 4005880363. The next prime is 4005880381. The reversal of 4005880380 is 830885004.

4005880380 is a `hidden beast` number, since 40 + 0 + 588 + 0 + 38 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005880381) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 75939 + ... + 117381.

It is an arithmetic number, because the mean of its divisors is an integer number (130548600).

Almost surely, 2^4005880380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4005880380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6266332800).

4005880380 is an abundant number, since it is smaller than the sum of its proper divisors (8526785220).

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

4005880380 is a wasteful number, since it uses less digits than its factorization.

4005880380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41640 (or 41632 counting only the distinct ones).

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

The square root of 4005880380 is about 63292.0246160604. The cubic root of 4005880380 is about 1588.1785478781.

The spelling of 4005880380 in words is "four billion, five million, eight hundred eighty thousand, three hundred eighty".