335996352 has 126 divisors (see below), whose sum is σ = 996781344. Its totient is φ = 108207360.

The previous prime is 335996329. The next prime is 335996377. The reversal of 335996352 is 253699533.

335996352 is a `hidden beast` number, since 3 + 3 + 5 + 9 + 9 + 635 + 2 = 666.

It is a super-2 number, since 2×335996352² = 225787097114615808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 335996298 and 335996307.

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 17 ways as a sum of consecutive naturals, for example, 553233 + ... + 553839.

Almost surely, 2^335996352 is an apocalyptic number.

335996352 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 335996352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498390672).

335996352 is an abundant number, since it is smaller than the sum of its proper divisors (660784992).

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

335996352 is a wasteful number, since it uses less digits than its factorization.

335996352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 643 counting only the distinct ones).

The product of its digits is 656100, while the sum is 45.

The square root of 335996352 is about 18330.2032721953. The cubic root of 335996352 is about 695.2028129870.

The spelling of 335996352 in words is "three hundred thirty-five million, nine hundred ninety-six thousand, three hundred fifty-two".