352625755328 has 112 divisors (see below), whose sum is σ = 876028167168. Its totient is φ = 136816128000.

The previous prime is 352625755309. The next prime is 352625755343. The reversal of 352625755328 is 823557526253.

It is a Cunningham number, because it is equal to 593823²-1.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 352625755328.

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 15 ways as a sum of consecutive naturals, for example, 1039193 + ... + 1336103.

It is an arithmetic number, because the mean of its divisors is an integer number (7821680064).

Almost surely, 2^352625755328 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 352625755328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438014083584).

352625755328 is an abundant number, since it is smaller than the sum of its proper divisors (523402411840).

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

352625755328 is a wasteful number, since it uses less digits than its factorization.

352625755328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297182 (or 297172 counting only the distinct ones).

The product of its digits is 15120000, while the sum is 53.

The spelling of 352625755328 in words is "three hundred fifty-two billion, six hundred twenty-five million, seven hundred fifty-five thousand, three hundred twenty-eight".