3225605305140 has 72 divisors (see below), whose sum is σ = 9784544351400. Its totient is φ = 860143106304.

The previous prime is 3225605305133. The next prime is 3225605305201. The reversal of 3225605305140 is 415035065223.

3225605305140 is a `hidden beast` number, since 3 + 2 + 2 + 5 + 605 + 3 + 0 + 5 + 1 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 334775645604 + 2890829659536 = 578598^2 + 1700244^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3225605305095 and 3225605305104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9714586 + ... + 10041134.

It is an arithmetic number, because the mean of its divisors is an integer number (135896449325).

Almost surely, 2^{3225605305140} is an apocalyptic number.

3225605305140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3225605305140 is an abundant number, since it is smaller than the sum of its proper divisors (6558939046260).

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

3225605305140 is a wasteful number, since it uses less digits than its factorization.

3225605305140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381441 (or 381436 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 3225605305140 in words is "three trillion, two hundred twenty-five billion, six hundred five million, three hundred five thousand, one hundred forty".