347628545952160 has 384 divisors, whose sum is σ = 966457404057600. Its totient is φ = 116824366264320.

The previous prime is 347628545952151. The next prime is 347628545952209. The reversal of 347628545952160 is 61259545826743.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (67).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230016246 + ... + 231522634.

It is an arithmetic number, because the mean of its divisors is an integer number (2516816156400).

It is a 1-persistent number, because it is pandigital, but 2⋅347628545952160 = 695257091904320 is not.

Almost surely, 2^{347628545952160} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 347628545952160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483228702028800).

347628545952160 is an abundant number, since it is smaller than the sum of its proper divisors (618828858105440).

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

347628545952160 is a wasteful number, since it uses less digits than its factorization.

347628545952160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506604 (or 1506596 counting only the distinct ones).

The product of its (nonzero) digits is 435456000, while the sum is 67.

The spelling of 347628545952160 in words is "three hundred forty-seven trillion, six hundred twenty-eight billion, five hundred forty-five million, nine hundred fifty-two thousand, one hundred sixty".