3432975040512 has 108 divisors (see below), whose sum is σ = 9917449026030. Its totient is φ = 1144324620288.

The previous prime is 3432975040393. The next prime is 3432975040519. The reversal of 3432975040512 is 2150405792343.

It is a happy number.

3432975040512 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 97 + 5 + 0 + 40 + 512 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2643407732736 + 789567307776 = 1625856^2 + 888576^2 .

It is not an unprimeable number, because it can be changed into a prime (3432975040519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 275437 + ... + 2634732.

Almost surely, 2^{3432975040512} is an apocalyptic number.

3432975040512 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 3432975040512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4958724513015).

3432975040512 is an abundant number, since it is smaller than the sum of its proper divisors (6484473985518).

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

3432975040512 is an frugal number, since it uses more digits than its factorization.

3432975040512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910209 (or 2910174 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 3432975040512 in words is "three trillion, four hundred thirty-two billion, nine hundred seventy-five million, forty thousand, five hundred twelve".