349328952063 has 288 divisors, whose sum is σ = 674601467904. Its totient is φ = 172368000000.

The previous prime is 349328952053. The next prime is 349328952067. The reversal of 349328952063 is 360259823943.

It is a happy number.

349328952063 is a `hidden beast` number, since 3 + 4 + 9 + 32 + 89 + 520 + 6 + 3 = 666.

It is not a de Polignac number, because 349328952063 - 2⁹ = 349328951551 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349328952067) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1391748688 + ... + 1391748938.

It is an arithmetic number, because the mean of its divisors is an integer number (2342366208).

Almost surely, 2^349328952063 is an apocalyptic number.

349328952063 is a deficient number, since it is larger than the sum of its proper divisors (325272515841).

349328952063 is a wasteful number, since it uses less digits than its factorization.

349328952063 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 349328952063 in words is "three hundred forty-nine billion, three hundred twenty-eight million, nine hundred fifty-two thousand, sixty-three".