352856541600 has 360 divisors, whose sum is σ = 1288907817120. Its totient is φ = 93940922880.

The previous prime is 352856541599. The next prime is 352856541607. The reversal of 352856541600 is 6145658253.

352856541600 is a `hidden beast` number, since 3 + 5 + 28 + 565 + 4 + 1 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (352856541607) 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 59 ways as a sum of consecutive naturals, for example, 42699069 + ... + 42707331.

It is an arithmetic number, because the mean of its divisors is an integer number (3580299492).

Almost surely, 2^352856541600 is an apocalyptic number.

352856541600 is a gapful number since it is divisible by the number (30) 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 352856541600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644453908560).

352856541600 is an abundant number, since it is smaller than the sum of its proper divisors (936051275520).

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

352856541600 is a wasteful number, since it uses less digits than its factorization.

352856541600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8954 (or 8932 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 352856541600 in words is "three hundred fifty-two billion, eight hundred fifty-six million, five hundred forty-one thousand, six hundred".