3880226880 has 336 divisors, whose sum is σ = 14483602224. Its totient is φ = 949616640.

The previous prime is 3880226813. The next prime is 3880226939. The reversal of 3880226880 is 886220883.

3880226880 is a `hidden beast` number, since 388 + 0 + 2 + 268 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 49112064 + 3831114816 = 7008^2 + 61896^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2006394 + ... + 2008326.

It is an arithmetic number, because the mean of its divisors is an integer number (43105959).

Almost surely, 2^3880226880 is an apocalyptic number.

3880226880 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 3880226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7241801112).

3880226880 is an abundant number, since it is smaller than the sum of its proper divisors (10603375344).

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

3880226880 is a wasteful number, since it uses less digits than its factorization.

3880226880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 3880226880 is about 62291.4671524118. The cubic root of 3880226880 is about 1571.3962291022.

The spelling of 3880226880 in words is "three billion, eight hundred eighty million, two hundred twenty-six thousand, eight hundred eighty".