3882053440 has 28 divisors (see below), whose sum is σ = 9244140516. Its totient is φ = 1552821248.

The previous prime is 3882053401. The next prime is 3882053447. The reversal of 3882053440 is 443502883.

It can be written as a sum of positive squares in 2 ways, for example, as 2899607104 + 982446336 = 53848^2 + 31344^2 .

It is a super-2 number, since 2×3882053440² = 30140677822031667200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3882053440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3882053447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6065389 + ... + 6066028.

Almost surely, 2^3882053440 is an apocalyptic number.

It is an amenable number.

3882053440 is an abundant number, since it is smaller than the sum of its proper divisors (5362087076).

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

3882053440 is a wasteful number, since it uses less digits than its factorization.

3882053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12131434 (or 12131424 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 3882053440 is about 62306.1268255378. The cubic root of 3882053440 is about 1571.6427610127.

The spelling of 3882053440 in words is "three billion, eight hundred eighty-two million, fifty-three thousand, four hundred forty".