361920000 has 400 divisors, whose sum is σ = 1342257840. Its totient is φ = 86016000.

The previous prime is 361919989. The next prime is 361920007. The reversal of 361920000 is 29163.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361920007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 12479986 + ... + 12480014.

Almost surely, 2^361920000 is an apocalyptic number.

361920000 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 361920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671128920).

361920000 is an abundant number, since it is smaller than the sum of its proper divisors (980337840).

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

361920000 is an equidigital number, since it uses as much as digits as its factorization.

361920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 361920000 is about 19024.1951209506. The cubic root of 361920000 is about 712.6410924031.

Adding to 361920000 its reverse (29163), we get a palindrome (361949163).

The spelling of 361920000 in words is "three hundred sixty-one million, nine hundred twenty thousand".