3225172526640 has 320 divisors, whose sum is σ = 11526742241280. Its totient is φ = 827986821120.

The previous prime is 3225172526501. The next prime is 3225172526647. The reversal of 3225172526640 is 466252715223.

3225172526640 is a `hidden beast` number, since 3 + 2 + 2 + 51 + 72 + 526 + 6 + 4 + 0 = 666.

3225172526640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3225172526647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12798499 + ... + 13048061.

It is an arithmetic number, because the mean of its divisors is an integer number (36021069504).

Almost surely, 2^{3225172526640} is an apocalyptic number.

3225172526640 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 3225172526640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5763371120640).

3225172526640 is an abundant number, since it is smaller than the sum of its proper divisors (8301569714640).

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

3225172526640 is a wasteful number, since it uses less digits than its factorization.

3225172526640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249809 (or 249797 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 3225172526640 in words is "three trillion, two hundred twenty-five billion, one hundred seventy-two million, five hundred twenty-six thousand, six hundred forty".