349469952000 has 1536 divisors, whose sum is σ = 1390890009600. Its totient is φ = 77070336000.

The previous prime is 349469951947. The next prime is 349469952001. The reversal of 349469952000 is 259964943.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (349469952001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4922111965 + ... + 4922112035.

It is an arithmetic number, because the mean of its divisors is an integer number (905527350).

Almost surely, 2^349469952000 is an apocalyptic number.

349469952000 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 349469952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695445004800).

349469952000 is an abundant number, since it is smaller than the sum of its proper divisors (1041420057600).

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

349469952000 is a wasteful number, since it uses less digits than its factorization.

349469952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 51.

The spelling of 349469952000 in words is "three hundred forty-nine billion, four hundred sixty-nine million, nine hundred fifty-two thousand".