3882127392 has 288 divisors, whose sum is σ = 13381018560. Its totient is φ = 1085460480.

The previous prime is 3882127349. The next prime is 3882127397. The reversal of 3882127392 is 2937212883.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (3882127397) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1604968 + ... + 1607384.

It is an arithmetic number, because the mean of its divisors is an integer number (46461870).

Almost surely, 2^3882127392 is an apocalyptic number.

3882127392 is a gapful number since it is divisible by the number (32) 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 3882127392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6690509280).

3882127392 is an abundant number, since it is smaller than the sum of its proper divisors (9498891168).

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

3882127392 is a wasteful number, since it uses less digits than its factorization.

3882127392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2473 (or 2446 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 3882127392 is about 62306.7202795974. The cubic root of 3882127392 is about 1571.6527407300.

The spelling of 3882127392 in words is "three billion, eight hundred eighty-two million, one hundred twenty-seven thousand, three hundred ninety-two".