361281280 has 72 divisors (see below), whose sum is σ = 916341552. Its totient is φ = 136003584.

The previous prime is 361281251. The next prime is 361281281. The reversal of 361281280 is 82182163.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361281281) 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 7 ways as a sum of consecutive naturals, for example, 13459 + ... + 30061.

It is an arithmetic number, because the mean of its divisors is an integer number (12726966).

Almost surely, 2^361281280 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 361281280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458170776).

361281280 is an abundant number, since it is smaller than the sum of its proper divisors (555060272).

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

361281280 is a wasteful number, since it uses less digits than its factorization.

361281280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16641 (or 16627 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 361281280 is about 19007.4006639519. The cubic root of 361281280 is about 712.2216201910.

The spelling of 361281280 in words is "three hundred sixty-one million, two hundred eighty-one thousand, two hundred eighty".