330348672 has 128 divisors (see below), whose sum is σ = 991603200. Its totient is φ = 108241920.

The previous prime is 330348671. The next prime is 330348673. The reversal of 330348672 is 276843033.

It is an interprime number because it is at equal distance from previous prime (330348671) and next prime (330348673).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (330348671) 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 15 ways as a sum of consecutive naturals, for example, 210033 + ... + 211599.

It is an arithmetic number, because the mean of its divisors is an integer number (7746900).

Almost surely, 2^330348672 is an apocalyptic number.

330348672 is a gapful number since it is divisible by the number (32) 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 330348672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495801600).

330348672 is an abundant number, since it is smaller than the sum of its proper divisors (661254528).

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

330348672 is a wasteful number, since it uses less digits than its factorization.

330348672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 330348672 is about 18175.4964718986. The cubic root of 330348672 is about 691.2856182521.

The spelling of 330348672 in words is "three hundred thirty million, three hundred forty-eight thousand, six hundred seventy-two".