3631220145 has 256 divisors, whose sum is σ = 8273664000. Its totient is φ = 1473085440.

The previous prime is 3631220143. The next prime is 3631220171. The reversal of 3631220145 is 5410221363.

3631220145 is a `hidden beast` number, since 3 + 631 + 2 + 20 + 1 + 4 + 5 = 666.

It is not a de Polignac number, because 3631220145 - 2¹ = 3631220143 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3631220143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24370531 + ... + 24370679.

It is an arithmetic number, because the mean of its divisors is an integer number (32319000).

Almost surely, 2^3631220145 is an apocalyptic number.

3631220145 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3631220145 is an abundant number, since it is smaller than the sum of its proper divisors (4642443855).

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

3631220145 is a wasteful number, since it uses less digits than its factorization.

3631220145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3631220145 is about 60259.6062466392. The cubic root of 3631220145 is about 1537.0365432386.

The spelling of 3631220145 in words is "three billion, six hundred thirty-one million, two hundred twenty thousand, one hundred forty-five".