3807882720 has 144 divisors (see below), whose sum is σ = 13678413840. Its totient is φ = 961984512.

The previous prime is 3807882719. The next prime is 3807882763. The reversal of 3807882720 is 272887083.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42229 + ... + 96948.

It is an arithmetic number, because the mean of its divisors is an integer number (94988985).

Almost surely, 2^3807882720 is an apocalyptic number.

3807882720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3807882720 is an abundant number, since it is smaller than the sum of its proper divisors (9870531120).

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

3807882720 is a wasteful number, since it uses less digits than its factorization.

3807882720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139217 (or 139206 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 3807882720 is about 61708.0442081906. The cubic root of 3807882720 is about 1561.5690327929.

The spelling of 3807882720 in words is "three billion, eight hundred seven million, eight hundred eighty-two thousand, seven hundred twenty".