361645872 has 120 divisors (see below), whose sum is σ = 1094126400. Its totient is φ = 102630528.

The previous prime is 361645861. The next prime is 361645873. The reversal of 361645872 is 278546163.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (361645873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420579 + ... + 421437.

It is an arithmetic number, because the mean of its divisors is an integer number (9117720).

Almost surely, 2^361645872 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 361645872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547063200).

361645872 is an abundant number, since it is smaller than the sum of its proper divisors (732480528).

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

361645872 is a wasteful number, since it uses less digits than its factorization.

361645872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1050 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 361645872 is about 19016.9890361224. The cubic root of 361645872 is about 712.4611224093.

The spelling of 361645872 in words is "three hundred sixty-one million, six hundred forty-five thousand, eight hundred seventy-two".