347779954560 has 256 divisors, whose sum is σ = 1140140136960. Its totient is φ = 90120511488.

The previous prime is 347779954537. The next prime is 347779954567. The reversal of 347779954560 is 65459977743.

It is a junction number, because it is equal to n+sod(n) for n = 347779954491 and 347779954500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (347779954567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16253629 + ... + 16275011.

It is an arithmetic number, because the mean of its divisors is an integer number (4453672410).

Almost surely, 2^347779954560 is an apocalyptic number.

347779954560 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 347779954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570070068480).

347779954560 is an abundant number, since it is smaller than the sum of its proper divisors (792360182400).

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

347779954560 is a wasteful number, since it uses less digits than its factorization.

347779954560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21645 (or 21633 counting only the distinct ones).

The product of its (nonzero) digits is 200037600, while the sum is 66.

The spelling of 347779954560 in words is "three hundred forty-seven billion, seven hundred seventy-nine million, nine hundred fifty-four thousand, five hundred sixty".