361540224 has 96 divisors (see below), whose sum is σ = 1101627540. Its totient is φ = 113418240.

The previous prime is 361540217. The next prime is 361540273. The reversal of 361540224 is 422045163.

361540224 is a `hidden beast` number, since 3 + 615 + 40 + 2 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 354945600 + 6594624 = 18840^2 + 2568^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×361540224² = 261422667139940352, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10354 + ... + 28814.

Almost surely, 2^361540224 is an apocalyptic number.

361540224 is a gapful number since it is divisible by the number (34) 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 361540224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550813770).

361540224 is an abundant number, since it is smaller than the sum of its proper divisors (740087316).

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

361540224 is a wasteful number, since it uses less digits than its factorization.

361540224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18498 (or 18483 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 361540224 is about 19014.2111064330. The cubic root of 361540224 is about 712.3917383062.

Adding to 361540224 its reverse (422045163), we get a palindrome (783585387).

The spelling of 361540224 in words is "three hundred sixty-one million, five hundred forty thousand, two hundred twenty-four".