3225270011904 has 288 divisors, whose sum is σ = 9502287795000. Its totient is φ = 1053543628800.

The previous prime is 3225270011869. The next prime is 3225270011981. The reversal of 3225270011904 is 4091100725223.

3225270011904 is a `hidden beast` number, since 32 + 2 + 527 + 0 + 0 + 11 + 90 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1350429926400 + 1874840085504 = 1162080^2 + 1369248^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1173250722 + ... + 1173253470.

Almost surely, 2^{3225270011904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3225270011904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4751143897500).

3225270011904 is an abundant number, since it is smaller than the sum of its proper divisors (6277017783096).

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

3225270011904 is a wasteful number, since it uses less digits than its factorization.

3225270011904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4031 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 3225270011904 in words is "three trillion, two hundred twenty-five billion, two hundred seventy million, eleven thousand, nine hundred four".