335673360 has 180 divisors, whose sum is σ = 1239423276. Its totient is φ = 81354240.

The previous prime is 335673341. The next prime is 335673383. The reversal of 335673360 is 63376533.

335673360 is a `hidden beast` number, since 3 + 3 + 567 + 33 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 255104784 + 80568576 = 15972^2 + 8976^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×335673360² = 225353209227379200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 85194 + ... + 89046.

Almost surely, 2^335673360 is an apocalyptic number.

335673360 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 335673360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619711638).

335673360 is an abundant number, since it is smaller than the sum of its proper divisors (903749916).

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

335673360 is a wasteful number, since it uses less digits than its factorization.

335673360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 36.

The square root of 335673360 is about 18321.3907769034. The cubic root of 335673360 is about 694.9799763049.

The spelling of 335673360 in words is "three hundred thirty-five million, six hundred seventy-three thousand, three hundred sixty".