361218432 has 128 divisors (see below), whose sum is σ = 1003680000. Its totient is φ = 114960384.

The previous prime is 361218413. The next prime is 361218437. The reversal of 361218432 is 234812163.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 361218432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361218437) 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 15 ways as a sum of consecutive naturals, for example, 1815069 + ... + 1815267.

It is an arithmetic number, because the mean of its divisors is an integer number (7841250).

Almost surely, 2^361218432 is an apocalyptic number.

361218432 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 361218432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501840000).

361218432 is an abundant number, since it is smaller than the sum of its proper divisors (642461568).

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

361218432 is a wasteful number, since it uses less digits than its factorization.

361218432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 396 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 361218432 is about 19005.7473412650. The cubic root of 361218432 is about 712.1803187613.

The spelling of 361218432 in words is "three hundred sixty-one million, two hundred eighteen thousand, four hundred thirty-two".