355938948 has 120 divisors (see below), whose sum is σ = 958973400. Its totient is φ = 115084800.

The previous prime is 355938929. The next prime is 355938949. The reversal of 355938948 is 849839553.

355938948 is a `hidden beast` number, since 3 + 5 + 593 + 8 + 9 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82301184 + 273637764 = 9072^2 + 16542^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 355938894 and 355938903.

It is not an unprimeable number, because it can be changed into a prime (355938949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2388778 + ... + 2388926.

It is an arithmetic number, because the mean of its divisors is an integer number (7991445).

Almost surely, 2^355938948 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 355938948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479486700).

355938948 is an abundant number, since it is smaller than the sum of its proper divisors (603034452).

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

355938948 is a wasteful number, since it uses less digits than its factorization.

355938948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 328 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The square root of 355938948 is about 18866.3443199789. The cubic root of 355938948 is about 708.6935891947.

The spelling of 355938948 in words is "three hundred fifty-five million, nine hundred thirty-eight thousand, nine hundred forty-eight".