3880422144 has 162 divisors, whose sum is σ = 11367900180. Its totient is φ = 1272987648.

The previous prime is 3880422107. The next prime is 3880422181. The reversal of 3880422144 is 4412240883.

It is an interprime number because it is at equal distance from previous prime (3880422107) and next prime (3880422181).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3880422099 and 3880422108.

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 17 ways as a sum of consecutive naturals, for example, 21678247 + ... + 21678425.

Almost surely, 2^3880422144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3880422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5683950090).

3880422144 is an abundant number, since it is smaller than the sum of its proper divisors (7487478036).

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

3880422144 is an equidigital number, since it uses as much as digits as its factorization.

3880422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 3880422144 is about 62293.0344741689. The cubic root of 3880422144 is about 1571.4225876954.

The spelling of 3880422144 in words is "three billion, eight hundred eighty million, four hundred twenty-two thousand, one hundred forty-four".