352960000 has 100 divisors (see below), whose sum is σ = 882055152. Its totient is φ = 141056000.

The previous prime is 352959961. The next prime is 352960031. The reversal of 352960000 is 69253.

352960000 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 (100).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 319449 + ... + 320551.

Almost surely, 2^352960000 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 352960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441027576).

352960000 is an abundant number, since it is smaller than the sum of its proper divisors (529095152).

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

352960000 is an frugal number, since it uses more digits than its factorization.

352960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 352960000 is about 18787.2297053078. The cubic root of 352960000 is about 706.7109659346.

The spelling of 352960000 in words is "three hundred fifty-two million, nine hundred sixty thousand".