355332096 has 364 divisors, whose sum is σ = 1289197872. Its totient is φ = 95551488.

The previous prime is 355332077. The next prime is 355332101. The reversal of 355332096 is 690233553.

355332096 is a `hidden beast` number, since 35 + 533 + 2 + 0 + 96 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 355332096.

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 27 ways as a sum of consecutive naturals, for example, 20901880 + ... + 20901896.

Almost surely, 2^355332096 is an apocalyptic number.

355332096 is a gapful number since it is divisible by the number (36) 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 355332096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644598936).

355332096 is an abundant number, since it is smaller than the sum of its proper divisors (933865776).

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

355332096 is an frugal number, since it uses more digits than its factorization.

355332096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

The square root of 355332096 is about 18850.2545340905. The cubic root of 355332096 is about 708.2906017621.

The spelling of 355332096 in words is "three hundred fifty-five million, three hundred thirty-two thousand, ninety-six".