349199535212352 has 280 divisors, whose sum is σ = 1129738264105440. Its totient is φ = 105771365360640.

The previous prime is 349199535212317. The next prime is 349199535212371. The reversal of 349199535212352 is 253212535991943.

349199535212352 is a `hidden beast` number, since 3 + 4 + 9 + 1 + 9 + 9 + 53 + 521 + 2 + 3 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 349199535212352.

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 39 ways as a sum of consecutive naturals, for example, 128038023 + ... + 130736889.

Almost surely, 2^{349199535212352} is an apocalyptic number.

349199535212352 is a gapful number since it is divisible by the number (32) 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 349199535212352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564869132052720).

349199535212352 is an abundant number, since it is smaller than the sum of its proper divisors (780538728893088).

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

349199535212352 is a wasteful number, since it uses less digits than its factorization.

349199535212352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701171 (or 2701152 counting only the distinct ones).

The product of its digits is 78732000, while the sum is 63.

The spelling of 349199535212352 in words is "three hundred forty-nine trillion, one hundred ninety-nine billion, five hundred thirty-five million, two hundred twelve thousand, three hundred fifty-two".