361848384 has 168 divisors, whose sum is σ = 1098377280. Its totient is φ = 118070784.

The previous prime is 361848379. The next prime is 361848413. The reversal of 361848384 is 483848163.

It is a super-2 number, since 2×361848384² = 261868506006822912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 824037 + ... + 824475.

It is an arithmetic number, because the mean of its divisors is an integer number (6537960).

Almost surely, 2^361848384 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 361848384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549188640).

361848384 is an abundant number, since it is smaller than the sum of its proper divisors (736528896).

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

361848384 is an equidigital number, since it uses as much as digits as its factorization.

361848384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 497 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 361848384 is about 19022.3127931385. The cubic root of 361848384 is about 712.5940839748.

The spelling of 361848384 in words is "three hundred sixty-one million, eight hundred forty-eight thousand, three hundred eighty-four".