355083680 has 192 divisors, whose sum is σ = 1004306688. Its totient is φ = 116121600.

The previous prime is 355083667. The next prime is 355083689. The reversal of 355083680 is 86380553.

It is not an unprimeable number, because it can be changed into a prime (355083689) 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, 3515630 + ... + 3515730.

It is an arithmetic number, because the mean of its divisors is an integer number (5230764).

Almost surely, 2^355083680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355083680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502153344).

355083680 is an abundant number, since it is smaller than the sum of its proper divisors (649223008).

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

355083680 is a wasteful number, since it uses less digits than its factorization.

355083680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 355083680 is about 18843.6641872010. The cubic root of 355083680 is about 708.1255057491.

The spelling of 355083680 in words is "three hundred fifty-five million, eighty-three thousand, six hundred eighty".