3432775656672 has 384 divisors, whose sum is σ = 10553276160000. Its totient is φ = 1084076421120.

The previous prime is 3432775656641. The next prime is 3432775656727. The reversal of 3432775656672 is 2766565772343.

3432775656672 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 7 + 7 + 565 + 6 + 67 + 2 = 666.

3432775656672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 363983797 + ... + 363993227.

It is an arithmetic number, because the mean of its divisors is an integer number (27482490000).

Almost surely, 2^{3432775656672} is an apocalyptic number.

3432775656672 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 3432775656672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5276638080000).

3432775656672 is an abundant number, since it is smaller than the sum of its proper divisors (7120500503328).

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

3432775656672 is a wasteful number, since it uses less digits than its factorization.

3432775656672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9751 (or 9737 counting only the distinct ones).

The product of its digits is 266716800, while the sum is 63.

The spelling of 3432775656672 in words is "three trillion, four hundred thirty-two billion, seven hundred seventy-five million, six hundred fifty-six thousand, six hundred seventy-two".