352251648 has 108 divisors (see below), whose sum is σ = 1160771248. Its totient is φ = 100638720.

The previous prime is 352251631. The next prime is 352251673. The reversal of 352251648 is 846152253.

352251648 is a `hidden beast` number, since 3 + 5 + 2 + 2 + 5 + 1 + 648 = 666.

352251648 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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5208 + ... + 27048.

Almost surely, 2^352251648 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 352251648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580385624).

352251648 is an abundant number, since it is smaller than the sum of its proper divisors (808519600).

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

352251648 is a wasteful number, since it uses less digits than its factorization.

352251648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21870 (or 21853 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 352251648 is about 18768.3682828316. The cubic root of 352251648 is about 706.2378855259.

The spelling of 352251648 in words is "three hundred fifty-two million, two hundred fifty-one thousand, six hundred forty-eight".