3875884320 has 576 divisors, whose sum is σ = 15786150912. Its totient is φ = 790272000.

The previous prime is 3875884319. The next prime is 3875884339. The reversal of 3875884320 is 234885783.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3875884320.

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 95 ways as a sum of consecutive naturals, for example, 18369015 + ... + 18369225.

It is an arithmetic number, because the mean of its divisors is an integer number (27406512).

Almost surely, 2^3875884320 is an apocalyptic number.

3875884320 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 3875884320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7893075456).

3875884320 is an abundant number, since it is smaller than the sum of its proper divisors (11910266592).

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

3875884320 is a wasteful number, since it uses less digits than its factorization.

3875884320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 3875884320 is about 62256.6006139108. The cubic root of 3875884320 is about 1570.8098003653.

The spelling of 3875884320 in words is "three billion, eight hundred seventy-five million, eight hundred eighty-four thousand, three hundred twenty".