349179844809600 has 3840 divisors, whose sum is σ = 1582495742361600. Its totient is φ = 74132726169600.

The previous prime is 349179844809577. The next prime is 349179844809641. The reversal of 349179844809600 is 6908448971943.

349179844809600 is a `hidden beast` number, since 3 + 4 + 9 + 1 + 7 + 9 + 8 + 4 + 4 + 8 + 0 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 142697115577 + ... + 142697118023.

It is an arithmetic number, because the mean of its divisors is an integer number (412108266240).

Almost surely, 2^{349179844809600} is an apocalyptic number.

349179844809600 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 349179844809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791247871180800).

349179844809600 is an abundant number, since it is smaller than the sum of its proper divisors (1233315897552000).

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

349179844809600 is a wasteful number, since it uses less digits than its factorization.

349179844809600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 349179844809600 in words is "three hundred forty-nine trillion, one hundred seventy-nine billion, eight hundred forty-four million, eight hundred nine thousand, six hundred".