361608224 has 48 divisors (see below), whose sum is σ = 769886208. Its totient is φ = 166536192.

The previous prime is 361608223. The next prime is 361608257. The reversal of 361608224 is 422806163.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (361608223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18497 + ... + 32639.

It is an arithmetic number, because the mean of its divisors is an integer number (16039296).

Almost surely, 2^361608224 is an apocalyptic number.

361608224 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 361608224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384943104).

361608224 is an abundant number, since it is smaller than the sum of its proper divisors (408277984).

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

361608224 is a wasteful number, since it uses less digits than its factorization.

361608224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14217 (or 14209 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 361608224 is about 19015.9991586033. Note that the first 3 decimals coincide. The cubic root of 361608224 is about 712.4363987139.

Adding to 361608224 its sum of digits (32), we get a square (361608256 = 19016²).

The spelling of 361608224 in words is "three hundred sixty-one million, six hundred eight thousand, two hundred twenty-four".