347842490880 has 320 divisors, whose sum is σ = 1221440394240. Its totient is φ = 84054491136.

The previous prime is 347842490753. The next prime is 347842490887. The reversal of 347842490880 is 88094248743.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 347842490880.

It is not an unprimeable number, because it can be changed into a prime (347842490887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3304339 + ... + 3407981.

It is an arithmetic number, because the mean of its divisors is an integer number (3817001232).

Almost surely, 2^347842490880 is an apocalyptic number.

347842490880 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 347842490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610720197120).

347842490880 is an abundant number, since it is smaller than the sum of its proper divisors (873597903360).

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

347842490880 is a wasteful number, since it uses less digits than its factorization.

347842490880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103711 (or 103695 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 57.

The spelling of 347842490880 in words is "three hundred forty-seven billion, eight hundred forty-two million, four hundred ninety thousand, eight hundred eighty".