352416028608 has 1120 divisors, whose sum is σ = 1347889973760. Its totient is φ = 88624005120.

The previous prime is 352416028607. The next prime is 352416028631. The reversal of 352416028608 is 806820614253.

352416028608 is a `hidden beast` number, since 3 + 5 + 2 + 4 + 16 + 0 + 28 + 608 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352416028603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1254149428 + ... + 1254149708.

Almost surely, 2^352416028608 is an apocalyptic number.

352416028608 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352416028608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673944986880).

352416028608 is an abundant number, since it is smaller than the sum of its proper divisors (995473945152).

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

352416028608 is a wasteful number, since it uses less digits than its factorization.

352416028608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 352416028608 in words is "three hundred fifty-two billion, four hundred sixteen million, twenty-eight thousand, six hundred eight".