352575648 has 288 divisors, whose sum is σ = 1154829312. Its totient is φ = 101376000.

The previous prime is 352575637. The next prime is 352575653. The reversal of 352575648 is 846575253.

352575648 is a `hidden beast` number, since 35 + 2 + 57 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3490798 + ... + 3490898.

It is an arithmetic number, because the mean of its divisors is an integer number (4009824).

Almost surely, 2^352575648 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 352575648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577414656).

352575648 is an abundant number, since it is smaller than the sum of its proper divisors (802253664).

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

352575648 is a wasteful number, since it uses less digits than its factorization.

352575648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 352575648 is about 18776.9978431058. The cubic root of 352575648 is about 706.4543509947.

The spelling of 352575648 in words is "three hundred fifty-two million, five hundred seventy-five thousand, six hundred forty-eight".