361983280 has 80 divisors (see below), whose sum is σ = 873944064. Its totient is φ = 139288320.

The previous prime is 361983257. The next prime is 361983299. The reversal of 361983280 is 82389163.

361983280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 562639 + ... + 563281.

Almost surely, 2^361983280 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 361983280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436972032).

361983280 is an abundant number, since it is smaller than the sum of its proper divisors (511960784).

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

361983280 is a wasteful number, since it uses less digits than its factorization.

361983280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 361983280 is about 19025.8581935218. The cubic root of 361983280 is about 712.6826239574.

It can be divided in two parts, 361983 and 280, that added together give a palindrome (362263).

The spelling of 361983280 in words is "three hundred sixty-one million, nine hundred eighty-three thousand, two hundred eighty".