352064448 has 112 divisors (see below), whose sum is σ = 1048512000. Its totient is φ = 115824384.

The previous prime is 352064443. The next prime is 352064459. The reversal of 352064448 is 844460253.

352064448 is a `hidden beast` number, since 3 + 5 + 2 + 0 + 644 + 4 + 8 = 666.

352064448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352064443) 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 15 ways as a sum of consecutive naturals, for example, 135223 + ... + 137801.

Almost surely, 2^352064448 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 352064448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524256000).

352064448 is an abundant number, since it is smaller than the sum of its proper divisors (696447552).

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

352064448 is a wasteful number, since it uses less digits than its factorization.

352064448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 352064448 is about 18763.3805056552. The cubic root of 352064448 is about 706.1127560813.

The spelling of 352064448 in words is "three hundred fifty-two million, sixty-four thousand, four hundred forty-eight".