3779876880 has 320 divisors, whose sum is σ = 14106597120. Its totient is φ = 924770304.

The previous prime is 3779876861. The next prime is 3779876887. The reversal of 3779876880 is 886789773.

It is not an unprimeable number, because it can be changed into a prime (3779876887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6373864 + ... + 6374456.

It is an arithmetic number, because the mean of its divisors is an integer number (44083116).

Almost surely, 2^3779876880 is an apocalyptic number.

3779876880 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 3779876880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7053298560).

3779876880 is an abundant number, since it is smaller than the sum of its proper divisors (10326720240).

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

3779876880 is a wasteful number, since it uses less digits than its factorization.

3779876880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The square root of 3779876880 is about 61480.7033141294. The cubic root of 3779876880 is about 1557.7313176766.

The spelling of 3779876880 in words is "three billion, seven hundred seventy-nine million, eight hundred seventy-six thousand, eight hundred eighty".