361286784 has 128 divisors (see below), whose sum is σ = 1077364800. Its totient is φ = 119181312.

The previous prime is 361286777. The next prime is 361286801. The reversal of 361286784 is 487682163.

361286784 is a `hidden beast` number, since 361 + 286 + 7 + 8 + 4 = 666.

361286784 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 (128).

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, 369304 + ... + 370280.

Almost surely, 2^361286784 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 361286784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538682400).

361286784 is an abundant number, since it is smaller than the sum of its proper divisors (716078016).

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

361286784 is a wasteful number, since it uses less digits than its factorization.

361286784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1089 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 361286784 is about 19007.5454491105. The cubic root of 361286784 is about 712.2252369924.

The spelling of 361286784 in words is "three hundred sixty-one million, two hundred eighty-six thousand, seven hundred eighty-four".