352640000 has 220 divisors, whose sum is σ = 959224200. Its totient is φ = 129024000.

The previous prime is 352639909. The next prime is 352640009. The reversal of 352640000 is 46253.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352640009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12159986 + ... + 12160014.

It is an arithmetic number, because the mean of its divisors is an integer number (4360110).

Almost surely, 2^352640000 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 352640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479612100).

352640000 is an abundant number, since it is smaller than the sum of its proper divisors (606584200).

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

352640000 is an equidigital number, since it uses as much as digits as its factorization.

352640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 352640000 is about 18778.7113508888. The cubic root of 352640000 is about 706.4973289911.

Adding to 352640000 its reverse (46253), we get a palindrome (352686253).

The spelling of 352640000 in words is "three hundred fifty-two million, six hundred forty thousand".