361321632 has 144 divisors (see below), whose sum is σ = 1236231360. Its totient is φ = 97790976.

The previous prime is 361321619. The next prime is 361321637. The reversal of 361321632 is 236123163.

It is a happy number.

361321632 is a `hidden beast` number, since 3 + 6 + 1 + 3 + 21 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×361321632² = 261106643502286848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 361321596 and 361321605.

It is not an unprimeable number, because it can be changed into a prime (361321637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33588 + ... + 43020.

It is an arithmetic number, because the mean of its divisors is an integer number (8584940).

Almost surely, 2^361321632 is an apocalyptic number.

361321632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361321632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618115680).

361321632 is an abundant number, since it is smaller than the sum of its proper divisors (874909728).

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

361321632 is a wasteful number, since it uses less digits than its factorization.

361321632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9475 (or 9464 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 361321632 is about 19008.4621155947. The cubic root of 361321632 is about 712.2481355393.

Adding to 361321632 its reverse (236123163), we get a palindrome (597444795).

The spelling of 361321632 in words is "three hundred sixty-one million, three hundred twenty-one thousand, six hundred thirty-two".