3980878800 has 120 divisors (see below), whose sum is σ = 12784836480. Its totient is φ = 1058841600.

The previous prime is 3980878799. The next prime is 3980878817. The reversal of 3980878800 is 88780893.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 486745 + ... + 494855.

It is an arithmetic number, because the mean of its divisors is an integer number (106540304).

Almost surely, 2^3980878800 is an apocalyptic number.

3980878800 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 3980878800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6392418240).

3980878800 is an abundant number, since it is smaller than the sum of its proper divisors (8803957680).

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

3980878800 is a wasteful number, since it uses less digits than its factorization.

3980878800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8541 (or 8530 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The square root of 3980878800 is about 63094.2057561548. The cubic root of 3980878800 is about 1584.8675930221.

The spelling of 3980878800 in words is "three billion, nine hundred eighty million, eight hundred seventy-eight thousand, eight hundred".