3882353640 has 128 divisors (see below), whose sum is σ = 12720913920. Its totient is φ = 940064000.

The previous prime is 3882353617. The next prime is 3882353641. The reversal of 3882353640 is 463532883.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3882353592 and 3882353601.

It is not an unprimeable number, because it can be changed into a prime (3882353641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1914307 + ... + 1916333.

It is an arithmetic number, because the mean of its divisors is an integer number (99382140).

Almost surely, 2^3882353640 is an apocalyptic number.

3882353640 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 3882353640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6360456960).

3882353640 is an abundant number, since it is smaller than the sum of its proper divisors (8838560280).

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

3882353640 is a wasteful number, since it uses less digits than its factorization.

3882353640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503 (or 3499 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 3882353640 is about 62308.5358518398. The cubic root of 3882353640 is about 1571.6832717890.

The spelling of 3882353640 in words is "three billion, eight hundred eighty-two million, three hundred fifty-three thousand, six hundred forty".