3485575158912 has 1536 divisors, whose sum is σ = 13552629350400. Its totient is φ = 862202880000.

The previous prime is 3485575158893. The next prime is 3485575158917. The reversal of 3485575158912 is 2198515755843.

3485575158912 is a `hidden beast` number, since 3 + 4 + 8 + 5 + 575 + 1 + 58 + 9 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 3485575158912.

It is not an unprimeable number, because it can be changed into a prime (3485575158917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6442837362 + ... + 6442837902.

It is an arithmetic number, because the mean of its divisors is an integer number (8823326400).

Almost surely, 2^{3485575158912} is an apocalyptic number.

3485575158912 is a gapful number since it is divisible by the number (32) 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 3485575158912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6776314675200).

3485575158912 is an abundant number, since it is smaller than the sum of its proper divisors (10067054191488).

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

3485575158912 is a wasteful number, since it uses less digits than its factorization.

3485575158912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 666 counting only the distinct ones).

The product of its digits is 60480000, while the sum is 63.

The spelling of 3485575158912 in words is "three trillion, four hundred eighty-five billion, five hundred seventy-five million, one hundred fifty-eight thousand, nine hundred twelve".