3880147320 has 768 divisors, whose sum is σ = 16842816000. Its totient is φ = 787304448.

The previous prime is 3880147309. The next prime is 3880147321. The reversal of 3880147320 is 237410883.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3880147321) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 17093047 + ... + 17093273.

It is an arithmetic number, because the mean of its divisors is an integer number (21930750).

Almost surely, 2^3880147320 is an apocalyptic number.

3880147320 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 3880147320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8421408000).

3880147320 is an abundant number, since it is smaller than the sum of its proper divisors (12962668680).

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

3880147320 is a wasteful number, since it uses less digits than its factorization.

3880147320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3880147320 is about 62290.8285383972. The cubic root of 3880147320 is about 1571.3854890825.

The spelling of 3880147320 in words is "three billion, eight hundred eighty million, one hundred forty-seven thousand, three hundred twenty".