3880820580 has 288 divisors, whose sum is σ = 13851492480. Its totient is φ = 804464640.

The previous prime is 3880820579. The next prime is 3880820599. The reversal of 3880820580 is 850280883.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 95 ways as a sum of consecutive naturals, for example, 2254120 + ... + 2255840.

It is an arithmetic number, because the mean of its divisors is an integer number (48095460).

Almost surely, 2^3880820580 is an apocalyptic number.

3880820580 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 3880820580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6925746240).

3880820580 is an abundant number, since it is smaller than the sum of its proper divisors (9970671900).

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

3880820580 is a wasteful number, since it uses less digits than its factorization.

3880820580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 3880820580 is about 62296.2324703509. The cubic root of 3880820580 is about 1571.4763696362.

The spelling of 3880820580 in words is "three billion, eight hundred eighty million, eight hundred twenty thousand, five hundred eighty".