3504527070912 has 336 divisors, whose sum is σ = 11855886262272. Its totient is φ = 968547870720.

The previous prime is 3504527070911. The next prime is 3504527070959. The reversal of 3504527070912 is 2190707254053.

It is a happy number.

3504527070912 is a `hidden beast` number, since 3 + 50 + 4 + 527 + 0 + 70 + 9 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (3504527070911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345847798 + ... + 345857930.

Almost surely, 2^{3504527070912} is an apocalyptic number.

3504527070912 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 3504527070912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927943131136).

3504527070912 is an abundant number, since it is smaller than the sum of its proper divisors (8351359191360).

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

3504527070912 is a wasteful number, since it uses less digits than its factorization.

3504527070912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12956 (or 12943 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 3504527070912 in words is "three trillion, five hundred four billion, five hundred twenty-seven million, seventy thousand, nine hundred twelve".