352641000 has 256 divisors, whose sum is σ = 1169925120. Its totient is φ = 88320000.

The previous prime is 352640987. The next prime is 352641001. The reversal of 352641000 is 146253.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (352641001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5780970 + ... + 5781030.

It is an arithmetic number, because the mean of its divisors is an integer number (4570020).

Almost surely, 2^352641000 is an apocalyptic number.

352641000 is a gapful number since it is divisible by the number (30) 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 352641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584962560).

352641000 is an abundant number, since it is smaller than the sum of its proper divisors (817284120).

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

352641000 is a wasteful number, since it uses less digits than its factorization.

352641000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 352641000 is about 18778.7379767651. The cubic root of 352641000 is about 706.4979968079.

Adding to 352641000 its reverse (146253), we get a palindrome (352787253).

The spelling of 352641000 in words is "three hundred fifty-two million, six hundred forty-one thousand".