333380352 has 72 divisors (see below), whose sum is σ = 890072064. Its totient is φ = 110777344.

The previous prime is 333380351. The next prime is 333380363. The reversal of 333380352 is 253083333.

It is a super-2 number, since 2×333380352² = 222284918199287808, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (333380351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 385873 + ... + 386735.

It is an arithmetic number, because the mean of its divisors is an integer number (12362112).

Almost surely, 2^333380352 is an apocalyptic number.

333380352 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 333380352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445036032).

333380352 is an abundant number, since it is smaller than the sum of its proper divisors (556691712).

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

333380352 is an equidigital number, since it uses as much as digits as its factorization.

333380352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

The square root of 333380352 is about 18258.7061973186. The cubic root of 333380352 is about 693.3938737405.

The spelling of 333380352 in words is "three hundred thirty-three million, three hundred eighty thousand, three hundred fifty-two".