349504222485600 has 2592 divisors, whose sum is σ = 1643611782113280. Its totient is φ = 71361658368000.

The previous prime is 349504222485599. The next prime is 349504222485679. The reversal of 349504222485600 is 6584222405943.

349504222485600 is a `hidden beast` number, since 3 + 4 + 9 + 5 + 0 + 4 + 2 + 2 + 24 + 8 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 5544926085 + ... + 5544989115.

It is an arithmetic number, because the mean of its divisors is an integer number (634109483840).

Almost surely, 2^{349504222485600} is an apocalyptic number.

349504222485600 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 349504222485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821805891056640).

349504222485600 is an abundant number, since it is smaller than the sum of its proper divisors (1294107559627680).

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

349504222485600 is a wasteful number, since it uses less digits than its factorization.

349504222485600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63131 (or 63092 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 349504222485600 in words is "three hundred forty-nine trillion, five hundred four billion, two hundred twenty-two million, four hundred eighty-five thousand, six hundred".