350445352000 has 224 divisors, whose sum is σ = 897130312416. Its totient is φ = 135502848000.

The previous prime is 350445351983. The next prime is 350445352021. The reversal of 350445352000 is 253544053.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 277830193216 + 72615158784 = 527096^2 + 269472^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46468230 + ... + 46475770.

Almost surely, 2^350445352000 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 350445352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448565156208).

350445352000 is an abundant number, since it is smaller than the sum of its proper divisors (546684960416).

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

350445352000 is a wasteful number, since it uses less digits than its factorization.

350445352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7762 (or 7742 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 31.

Adding to 350445352000 its reverse (253544053), we get a palindrome (350698896053).

The spelling of 350445352000 in words is "three hundred fifty billion, four hundred forty-five million, three hundred fifty-two thousand".