356121216 has 192 divisors, whose sum is σ = 1131343200. Its totient is φ = 106629120.

The previous prime is 356121193. The next prime is 356121217. The reversal of 356121216 is 612121653.

356121216 is a `hidden beast` number, since 35 + 612 + 1 + 2 + 16 = 666.

356121216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 356121216.

It is not an unprimeable number, because it can be changed into a prime (356121217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1989415 + ... + 1989593.

Almost surely, 2^356121216 is an apocalyptic number.

356121216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 356121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565671600).

356121216 is an abundant number, since it is smaller than the sum of its proper divisors (775221984).

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

356121216 is a wasteful number, since it uses less digits than its factorization.

356121216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 352 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 356121216 is about 18871.1742082998. The cubic root of 356121216 is about 708.8145370158.

Adding to 356121216 its reverse (612121653), we get a palindrome (968242869).

The spelling of 356121216 in words is "three hundred fifty-six million, one hundred twenty-one thousand, two hundred sixteen".