32000002000 has 160 divisors (see below), whose sum is σ = 78549213600. Its totient is φ = 12607488000.

The previous prime is 32000001953. The next prime is 32000002049. The reversal of 32000002000 is 20000023.

It can be written as a sum of positive squares in 16 ways, for example, as 4917375376 + 27082626624 = 70124^2 + 164568^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49921680 + ... + 49922320.

It is an arithmetic number, because the mean of its divisors is an integer number (490932585).

It is the magic constant of a 4000 × 4000 magic square.

Almost surely, 2^32000002000 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 32000002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39274606800).

32000002000 is an abundant number, since it is smaller than the sum of its proper divisors (46549211600).

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

32000002000 is a wasteful number, since it uses less digits than its factorization.

32000002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

Adding to 32000002000 its reverse (20000023), we get a palindrome (32020002023).

It can be divided in two parts, 3200000 and 2000, that multiplied together give a square (6400000000 = 80000²).

The spelling of 32000002000 in words is "thirty-two billion, two thousand", and thus it is an eban number.