355379688 has 72 divisors (see below), whose sum is σ = 996990150. Its totient is φ = 114355584.

The previous prime is 355379663. The next prime is 355379707. The reversal of 355379688 is 886973553.

It is a happy number.

355379688 is a `hidden beast` number, since 3 + 553 + 7 + 9 + 6 + 88 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 240932484 + 114447204 = 15522^2 + 10698^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57618 + ... + 63486.

Almost surely, 2^355379688 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 355379688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498495075).

355379688 is an abundant number, since it is smaller than the sum of its proper divisors (641610462).

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

355379688 is a wasteful number, since it uses less digits than its factorization.

355379688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5939 (or 5903 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 355379688 is about 18851.5168620459. The cubic root of 355379688 is about 708.3222223801.

The spelling of 355379688 in words is "three hundred fifty-five million, three hundred seventy-nine thousand, six hundred eighty-eight".