349946352000 has 1024 divisors, whose sum is σ = 1521034444800. Its totient is φ = 77386752000.

The previous prime is 349946351983. The next prime is 349946352013. The reversal of 349946352000 is 253649943.

349946352000 is a `hidden beast` number, since 3 + 4 + 9 + 9 + 4 + 635 + 2 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 93742134 + ... + 93745866.

It is an arithmetic number, because the mean of its divisors is an integer number (1485385200).

Almost surely, 2^349946352000 is an apocalyptic number.

349946352000 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 349946352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760517222400).

349946352000 is an abundant number, since it is smaller than the sum of its proper divisors (1171088092800).

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

349946352000 is a wasteful number, since it uses less digits than its factorization.

349946352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3809 (or 3781 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 349946352000 in words is "three hundred forty-nine billion, nine hundred forty-six million, three hundred fifty-two thousand".