361968000 has 128 divisors (see below), whose sum is σ = 1200083040. Its totient is φ = 96512000.

The previous prime is 361967999. The next prime is 361968067. The reversal of 361968000 is 869163.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 44230 + ... + 51770.

Almost surely, 2^361968000 is an apocalyptic number.

361968000 is a gapful number since it is divisible by the number (30) 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 361968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600041520).

361968000 is an abundant number, since it is smaller than the sum of its proper divisors (838115040).

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

361968000 is an equidigital number, since it uses as much as digits as its factorization.

361968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7573 (or 7551 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 361968000 is about 19025.4566305253. The cubic root of 361968000 is about 712.6725959217.

The spelling of 361968000 in words is "three hundred sixty-one million, nine hundred sixty-eight thousand".