3642721936 has 30 divisors (see below), whose sum is σ = 8210065110. Its totient is φ = 1561166208.

The previous prime is 3642721919. The next prime is 3642721939. The reversal of 3642721936 is 6391272463.

It can be written as a sum of positive squares in only one way, i.e., 3640915600 + 1806336 = 60340^2 + 1344^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3642721892 and 3642721901.

It is not an unprimeable number, because it can be changed into a prime (3642721939) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2322381 + ... + 2323948.

It is an arithmetic number, because the mean of its divisors is an integer number (273668837).

Almost surely, 2^3642721936 is an apocalyptic number.

It is an amenable number.

3642721936 is an abundant number, since it is smaller than the sum of its proper divisors (4567343174).

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

3642721936 is a wasteful number, since it uses less digits than its factorization.

3642721936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4646351 (or 4646338 counting only the distinct ones).

The product of its digits is 326592, while the sum is 43.

The square root of 3642721936 is about 60354.9661254151. The cubic root of 3642721936 is about 1538.6576732885.

The spelling of 3642721936 in words is "three billion, six hundred forty-two million, seven hundred twenty-one thousand, nine hundred thirty-six".