352161792 has 156 divisors (see below), whose sum is σ = 1046514924. Its totient is φ = 114032640.

The previous prime is 352161791. The next prime is 352161793. The reversal of 352161792 is 297161253.

352161792 is a `hidden beast` number, since 3 + 521 + 61 + 79 + 2 = 666.

352161792 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (352161791) and next prime (352161793).

It can be written as a sum of positive squares in 2 ways, for example, as 40144896 + 312016896 = 6336^2 + 17664^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (352161791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1511308 + ... + 1511540.

It is an arithmetic number, because the mean of its divisors is an integer number (6708429).

Almost surely, 2^352161792 is an apocalyptic number.

352161792 is a gapful number since it is divisible by the number (32) 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 352161792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523257462).

352161792 is an abundant number, since it is smaller than the sum of its proper divisors (694353132).

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

352161792 is a wasteful number, since it uses less digits than its factorization.

352161792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 279 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 352161792 is about 18765.9743152334. The cubic root of 352161792 is about 706.1778289266.

The spelling of 352161792 in words is "three hundred fifty-two million, one hundred sixty-one thousand, seven hundred ninety-two".