355006968 has 64 divisors (see below), whose sum is σ = 911433600. Its totient is φ = 115167360.

The previous prime is 355006931. The next prime is 355006979. The reversal of 355006968 is 869600553.

It is a congruent number.

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, 431998 + ... + 432818.

It is an arithmetic number, because the mean of its divisors is an integer number (14241150).

Almost surely, 2^355006968 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 355006968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455716800).

355006968 is an abundant number, since it is smaller than the sum of its proper divisors (556426632).

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

355006968 is a wasteful number, since it uses less digits than its factorization.

355006968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 355006968 is about 18841.6285920299. The cubic root of 355006968 is about 708.0745077833.

The spelling of 355006968 in words is "three hundred fifty-five million, six thousand, nine hundred sixty-eight".