352941085350 has 336 divisors, whose sum is σ = 1130089669632. Its totient is φ = 80297542080.

The previous prime is 352941085327. The next prime is 352941085421. The reversal of 352941085350 is 53580149253.

352941085350 is a `hidden beast` number, since 3 + 5 + 2 + 9 + 4 + 108 + 535 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 352941085296 and 352941085305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 56895349 + ... + 56901551.

It is an arithmetic number, because the mean of its divisors is an integer number (3363362112).

Almost surely, 2^352941085350 is an apocalyptic number.

352941085350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 352941085350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565044834816).

352941085350 is an abundant number, since it is smaller than the sum of its proper divisors (777148584282).

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

352941085350 is a wasteful number, since it uses less digits than its factorization.

352941085350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6463 (or 6443 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 352941085350 in words is "three hundred fifty-two billion, nine hundred forty-one million, eighty-five thousand, three hundred fifty".