4003282000 has 40 divisors (see below), whose sum is σ = 9679940712. Its totient is φ = 1601312000.

The previous prime is 4003281991. The next prime is 4003282001. The reversal of 4003282000 is 2823004.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 125978176 + 3877303824 = 11224^2 + 62268^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4003282001) 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 7 ways as a sum of consecutive naturals, for example, 998821 + ... + 1002820.

Almost surely, 2^4003282000 is an apocalyptic number.

4003282000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4003282000 is an abundant number, since it is smaller than the sum of its proper divisors (5676658712).

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

4003282000 is a wasteful number, since it uses less digits than its factorization.

4003282000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001664 (or 2001648 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4003282000 is about 63271.4943714782. The cubic root of 4003282000 is about 1587.8350874688.

The spelling of 4003282000 in words is "four billion, three million, two hundred eighty-two thousand".