352427712 has 224 divisors, whose sum is σ = 1198912512. Its totient is φ = 88805376.

The previous prime is 352427693. The next prime is 352427717. The reversal of 352427712 is 217724253.

352427712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (352427717) 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 31 ways as a sum of consecutive naturals, for example, 401418 + ... + 402294.

It is an arithmetic number, because the mean of its divisors is an integer number (5352288).

Almost surely, 2^352427712 is an apocalyptic number.

352427712 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 352427712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599456256).

352427712 is an abundant number, since it is smaller than the sum of its proper divisors (846484800).

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

352427712 is a wasteful number, since it uses less digits than its factorization.

352427712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 925 counting only the distinct ones).

The product of its digits is 23520, while the sum is 33.

The square root of 352427712 is about 18773.0581419224. The cubic root of 352427712 is about 706.3555309241.

The spelling of 352427712 in words is "three hundred fifty-two million, four hundred twenty-seven thousand, seven hundred twelve".