355338368 has 128 divisors (see below), whose sum is σ = 911831040. Its totient is φ = 133862400.

The previous prime is 355338317. The next prime is 355338371. The reversal of 355338368 is 863833553.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304955 + ... + 306117.

It is an arithmetic number, because the mean of its divisors is an integer number (7123680).

Almost surely, 2^355338368 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 355338368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455915520).

355338368 is an abundant number, since it is smaller than the sum of its proper divisors (556492672).

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

355338368 is a wasteful number, since it uses less digits than its factorization.

355338368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1214 counting only the distinct ones).

The product of its digits is 777600, while the sum is 44.

The square root of 355338368 is about 18850.4208971577. The cubic root of 355338368 is about 708.2947691054.

The spelling of 355338368 in words is "three hundred fifty-five million, three hundred thirty-eight thousand, three hundred sixty-eight".