3882625344 has 336 divisors, whose sum is σ = 12448275840. Its totient is φ = 1149603840.

The previous prime is 3882625343. The next prime is 3882625361. The reversal of 3882625344 is 4435262883.

3882625344 is a `hidden beast` number, since 38 + 82 + 6 + 2 + 534 + 4 = 666.

It is a super-2 number, since 2×3882625344² = 30149559123742236672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3882625344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3882625343) 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, 35620362 + ... + 35620470.

It is an arithmetic number, because the mean of its divisors is an integer number (37048440).

Almost surely, 2^3882625344 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 3882625344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6224137920).

3882625344 is an abundant number, since it is smaller than the sum of its proper divisors (8565650496).

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

3882625344 is a wasteful number, since it uses less digits than its factorization.

3882625344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 265 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 3882625344 is about 62310.7161249171. The cubic root of 3882625344 is about 1571.7199353450.

The spelling of 3882625344 in words is "three billion, eight hundred eighty-two million, six hundred twenty-five thousand, three hundred forty-four".