396108000 has 144 divisors (see below), whose sum is σ = 1405915056. Its totient is φ = 105619200.

The previous prime is 396107993. The next prime is 396108023. The reversal of 396108000 is 801693.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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, 30499 + ... + 41501.

It is an arithmetic number, because the mean of its divisors is an integer number (9763299).

Almost surely, 2^396108000 is an apocalyptic number.

396108000 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 396108000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702957528).

396108000 is an abundant number, since it is smaller than the sum of its proper divisors (1009807056).

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

396108000 is a wasteful number, since it uses less digits than its factorization.

396108000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11034 (or 11013 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 396108000 is about 19902.4621592405. The cubic root of 396108000 is about 734.4087985048.

Adding to 396108000 its reverse (801693), we get a palindrome (396909693).

The spelling of 396108000 in words is "three hundred ninety-six million, one hundred eight thousand".