349067033280 has 1792 divisors, whose sum is σ = 1573060608000. Its totient is φ = 71066419200.

The previous prime is 349067033209. The next prime is 349067033327. The reversal of 349067033280 is 82330760943.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1460531401 + ... + 1460531639.

It is an arithmetic number, because the mean of its divisors is an integer number (877824000).

Almost surely, 2^349067033280 is an apocalyptic number.

349067033280 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 349067033280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786530304000).

349067033280 is an abundant number, since it is smaller than the sum of its proper divisors (1223993574720).

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

349067033280 is a wasteful number, since it uses less digits than its factorization.

349067033280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 349067033280 in words is "three hundred forty-nine billion, sixty-seven million, thirty-three thousand, two hundred eighty".