3473073635328 has 864 divisors, whose sum is σ = 11871781189632. Its totient is φ = 1004352307200.

The previous prime is 3473073635327. The next prime is 3473073635399. The reversal of 3473073635328 is 8235363703743.

3473073635328 is a `hidden beast` number, since 3 + 4 + 7 + 30 + 73 + 6 + 3 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3473073635327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8058175273 + ... + 8058175703.

It is an arithmetic number, because the mean of its divisors is an integer number (13740487488).

Almost surely, 2^{3473073635328} 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 3473073635328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5935890594816).

3473073635328 is an abundant number, since it is smaller than the sum of its proper divisors (8398707554304).

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

3473073635328 is an frugal number, since it uses more digits than its factorization.

3473073635328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 54.

The spelling of 3473073635328 in words is "three trillion, four hundred seventy-three billion, seventy-three million, six hundred thirty-five thousand, three hundred twenty-eight".