3485438456328 has 24 divisors (see below), whose sum is σ = 9439729152750. Its totient is φ = 1161812818752.

The previous prime is 3485438456303. The next prime is 3485438456351. The reversal of 3485438456328 is 8236548345843.

3485438456328 is a `hidden beast` number, since 3 + 4 + 8 + 5 + 43 + 8 + 4 + 563 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3179096132004 + 306342324324 = 1783002^2 + 553482^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×3485438456328² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24204433653 + ... + 24204433796.

Almost surely, 2^{3485438456328} is an apocalyptic number.

It is an amenable number.

3485438456328 is an abundant number, since it is smaller than the sum of its proper divisors (5954290696422).

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

3485438456328 is a wasteful number, since it uses less digits than its factorization.

3485438456328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48408867461 (or 48408867454 counting only the distinct ones).

The product of its digits is 265420800, while the sum is 63.

The spelling of 3485438456328 in words is "three trillion, four hundred eighty-five billion, four hundred thirty-eight million, four hundred fifty-six thousand, three hundred twenty-eight".