331033680 has 120 divisors (see below), whose sum is σ = 1117502880. Its totient is φ = 87816960.

The previous prime is 331033669. The next prime is 331033691. The reversal of 331033680 is 86330133.

It is an interprime number because it is at equal distance from previous prime (331033669) and next prime (331033691).

It is a tau number, because it is divible by the number of its divisors (120).

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, 150831 + ... + 153009.

It is an arithmetic number, because the mean of its divisors is an integer number (9312524).

Almost surely, 2^331033680 is an apocalyptic number.

331033680 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 331033680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558751440).

331033680 is an abundant number, since it is smaller than the sum of its proper divisors (786469200).

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

331033680 is a wasteful number, since it uses less digits than its factorization.

331033680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 331033680 is about 18194.3309852272. The cubic root of 331033680 is about 691.7631028905.

The spelling of 331033680 in words is "three hundred thirty-one million, thirty-three thousand, six hundred eighty".