331008000 has 192 divisors, whose sum is σ = 1103880960. Its totient is φ = 88064000.

The previous prime is 331007983. The next prime is 331008011. The reversal of 331008000 is 800133.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 767785 + ... + 768215.

It is an arithmetic number, because the mean of its divisors is an integer number (5749380).

Almost surely, 2^331008000 is an apocalyptic number.

331008000 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 331008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551940480).

331008000 is an abundant number, since it is smaller than the sum of its proper divisors (772872960).

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

331008000 is an equidigital number, since it uses as much as digits as its factorization.

331008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 331008000 is about 18193.6252572158. The cubic root of 331008000 is about 691.7452145437.

Adding to 331008000 its reverse (800133), we get a palindrome (331808133).

The spelling of 331008000 in words is "three hundred thirty-one million, eight thousand".