349391213280 has 144 divisors (see below), whose sum is σ = 1193216182704. Its totient is φ = 93099202560.

The previous prime is 349391213273. The next prime is 349391213333. The reversal of 349391213280 is 82312193943.

349391213280 is a `hidden beast` number, since 3 + 49 + 391 + 213 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1789260 + ... + 1974900.

It is an arithmetic number, because the mean of its divisors is an integer number (8286223491).

Almost surely, 2^349391213280 is an apocalyptic number.

349391213280 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 349391213280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596608091352).

349391213280 is an abundant number, since it is smaller than the sum of its proper divisors (843824969424).

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

349391213280 is a wasteful number, since it uses less digits than its factorization.

349391213280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186969 (or 186958 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 349391213280 in words is "three hundred forty-nine billion, three hundred ninety-one million, two hundred thirteen thousand, two hundred eighty".