3472423105536 has 1980 divisors, whose sum is σ = 13880070366624. Its totient is φ = 859903672320.

The previous prime is 3472423105531. The next prime is 3472423105579. The reversal of 3472423105536 is 6355013242743.

It is a happy number.

3472423105536 is a `hidden beast` number, since 3 + 4 + 7 + 2 + 4 + 2 + 3 + 105 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3472423105491 and 3472423105500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3472423105531) 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 179 ways as a sum of consecutive naturals, for example, 11310824295 + ... + 11310824601.

Almost surely, 2^{3472423105536} is an apocalyptic number.

3472423105536 is a gapful number since it is divisible by the number (36) 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 3472423105536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6940035183312).

3472423105536 is an abundant number, since it is smaller than the sum of its proper divisors (10407647261088).

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

3472423105536 is a wasteful number, since it uses less digits than its factorization.

3472423105536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 3472423105536 in words is "three trillion, four hundred seventy-two billion, four hundred twenty-three million, one hundred five thousand, five hundred thirty-six".