3882453120 has 640 divisors, whose sum is σ = 17085277440. Its totient is φ = 818159616.

The previous prime is 3882453109. The next prime is 3882453131. The reversal of 3882453120 is 213542883.

3882453120 is a `hidden beast` number, since 3 + 8 + 82 + 453 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (3882453109) and next prime (3882453131).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×3882453120³ (a number of 30 digits) contains 333 as substring.

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

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 79 ways as a sum of consecutive naturals, for example, 4717029 + ... + 4717851.

It is an arithmetic number, because the mean of its divisors is an integer number (26695746).

Almost surely, 2^3882453120 is an apocalyptic number.

3882453120 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 3882453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8542638720).

3882453120 is an abundant number, since it is smaller than the sum of its proper divisors (13202824320).

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

3882453120 is a wasteful number, since it uses less digits than its factorization.

3882453120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3882453120 is about 62309.3341322149. The cubic root of 3882453120 is about 1571.6966957521.

The spelling of 3882453120 in words is "three billion, eight hundred eighty-two million, four hundred fifty-three thousand, one hundred twenty".