361642336 has 48 divisors (see below), whose sum is σ = 779723280. Its totient is φ = 163745280.

The previous prime is 361642331. The next prime is 361642357. The reversal of 361642336 is 633246163.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361642331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95650 + ... + 99358.

It is an arithmetic number, because the mean of its divisors is an integer number (16244235).

Almost surely, 2^361642336 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 361642336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389861640).

361642336 is an abundant number, since it is smaller than the sum of its proper divisors (418080944).

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

361642336 is a wasteful number, since it uses less digits than its factorization.

361642336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007 (or 3999 counting only the distinct ones).

The product of its digits is 46656, while the sum is 34.

The square root of 361642336 is about 19016.8960663932. The cubic root of 361642336 is about 712.4588003673.

Adding to 361642336 its reverse (633246163), we get a palindrome (994888499).

The spelling of 361642336 in words is "three hundred sixty-one million, six hundred forty-two thousand, three hundred thirty-six".