3802882000 has 80 divisors (see below), whose sum is σ = 9219834000. Its totient is φ = 1517107200.

The previous prime is 3802881991. The next prime is 3802882009. The reversal of 3802882000 is 2882083.

It is an interprime number because it is at equal distance from previous prime (3802881991) and next prime (3802882009).

It can be written as a sum of positive squares in 8 ways, for example, as 6843456 + 3796038544 = 2616^2 + 61612^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3802882009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 815676 + ... + 820324.

It is an arithmetic number, because the mean of its divisors is an integer number (115247925).

Almost surely, 2^3802882000 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 3802882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4609917000).

3802882000 is an abundant number, since it is smaller than the sum of its proper divisors (5416952000).

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

3802882000 is a wasteful number, since it uses less digits than its factorization.

3802882000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5081 (or 5065 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 3802882000 is about 61667.5117059218. The cubic root of 3802882000 is about 1560.8851540293.

The spelling of 3802882000 in words is "three billion, eight hundred two million, eight hundred eighty-two thousand".