352090368 has 288 divisors, whose sum is σ = 1255833600. Its totient is φ = 95053824.

The previous prime is 352090367. The next prime is 352090379. The reversal of 352090368 is 863090253.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×352090368³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (352090367) 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 31 ways as a sum of consecutive naturals, for example, 919105 + ... + 919487.

Almost surely, 2^352090368 is an apocalyptic number.

352090368 is a gapful number since it is divisible by the number (38) 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 352090368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627916800).

352090368 is an abundant number, since it is smaller than the sum of its proper divisors (903743232).

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

352090368 is a wasteful number, since it uses less digits than its factorization.

352090368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 352090368 is about 18764.0712000355. The cubic root of 352090368 is about 706.1300843419.

The spelling of 352090368 in words is "three hundred fifty-two million, ninety thousand, three hundred sixty-eight".