3291206325120 has 512 divisors, whose sum is σ = 13780927872000. Its totient is φ = 726334414848.

The previous prime is 3291206325109. The next prime is 3291206325131. The reversal of 3291206325120 is 215236021923.

3291206325120 is a `hidden beast` number, since 3 + 2 + 9 + 1 + 2 + 0 + 632 + 5 + 12 + 0 = 666.

3291206325120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3291206325109) and next prime (3291206325131).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3038719 + ... + 3976961.

It is an arithmetic number, because the mean of its divisors is an integer number (26915874750).

Almost surely, 2^{3291206325120} is an apocalyptic number.

3291206325120 is a gapful number since it is divisible by the number (30) 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 3291206325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6890463936000).

3291206325120 is an abundant number, since it is smaller than the sum of its proper divisors (10489721546880).

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

3291206325120 is a wasteful number, since it uses less digits than its factorization.

3291206325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938307 (or 938289 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 3291206325120 in words is "three trillion, two hundred ninety-one billion, two hundred six million, three hundred twenty-five thousand, one hundred twenty".