349211509355520 has 2112 divisors, whose sum is σ = 1489297454701056. Its totient is φ = 76800463994880.

The previous prime is 349211509355417. The next prime is 349211509355539. The reversal of 349211509355520 is 25553905112943.

349211509355520 is a `hidden beast` number, since 3 + 4 + 9 + 2 + 1 + 1 + 50 + 9 + 35 + 552 + 0 = 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 191 ways as a sum of consecutive naturals, for example, 26066389462 + ... + 26066402858.

It is an arithmetic number, because the mean of its divisors is an integer number (705159779688).

Almost surely, 2^{349211509355520} is an apocalyptic number.

349211509355520 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 349211509355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744648727350528).

349211509355520 is an abundant number, since it is smaller than the sum of its proper divisors (1140085945345536).

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

349211509355520 is a wasteful number, since it uses less digits than its factorization.

349211509355520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13558 (or 13528 counting only the distinct ones).

The product of its (nonzero) digits is 7290000, while the sum is 54.

The spelling of 349211509355520 in words is "three hundred forty-nine trillion, two hundred eleven billion, five hundred nine million, three hundred fifty-five thousand, five hundred twenty".