349741829376 has 576 divisors, whose sum is σ = 1131506073600. Its totient is φ = 106151731200.

The previous prime is 349741829369. The next prime is 349741829377. The reversal of 349741829376 is 673928147943.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349741829377) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1103286370 + ... + 1103286686.

Almost surely, 2^349741829376 is an apocalyptic number.

349741829376 is a gapful number since it is divisible by the number (36) 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 349741829376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565753036800).

349741829376 is an abundant number, since it is smaller than the sum of its proper divisors (781764244224).

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

349741829376 is a wasteful number, since it uses less digits than its factorization.

349741829376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 643 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 349741829376 in words is "three hundred forty-nine billion, seven hundred forty-one million, eight hundred twenty-nine thousand, three hundred seventy-six".