3270612632832 has 144 divisors (see below), whose sum is σ = 9678036506880. Its totient is φ = 1089498636288.

The previous prime is 3270612632831. The next prime is 3270612632857. The reversal of 3270612632832 is 2382362160723.

3270612632832 is a `hidden beast` number, since 3 + 2 + 7 + 0 + 6 + 1 + 2 + 632 + 8 + 3 + 2 = 666.

3270612632832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3270612632831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10581993 + ... + 10886679.

Almost surely, 2^{3270612632832} is an apocalyptic number.

3270612632832 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 3270612632832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4839018253440).

3270612632832 is an abundant number, since it is smaller than the sum of its proper divisors (6407423874048).

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

3270612632832 is a wasteful number, since it uses less digits than its factorization.

3270612632832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306265 (or 306245 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 3270612632832 in words is "three trillion, two hundred seventy billion, six hundred twelve million, six hundred thirty-two thousand, eight hundred thirty-two".