3217424250240 has 1280 divisors, whose sum is σ = 12588034314240. Its totient is φ = 780635750400.

The previous prime is 3217424250233. The next prime is 3217424250251. The reversal of 3217424250240 is 420524247123.

3217424250240 is a `hidden beast` number, since 3 + 2 + 1 + 74 + 2 + 42 + 502 + 40 = 666.

It is a super-2 number, since 2×3217424250240² (a number of 26 digits) contains 22 as substring.

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 = 3217424250195 and 3217424250204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2254676407 + ... + 2254677833.

It is an arithmetic number, because the mean of its divisors is an integer number (9834401808).

Almost surely, 2^{3217424250240} is an apocalyptic number.

3217424250240 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 3217424250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6294017157120).

3217424250240 is an abundant number, since it is smaller than the sum of its proper divisors (9370610064000).

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

3217424250240 is a wasteful number, since it uses less digits than its factorization.

3217424250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 3217424250240 its reverse (420524247123), we get a palindrome (3637948497363).

The spelling of 3217424250240 in words is "three trillion, two hundred seventeen billion, four hundred twenty-four million, two hundred fifty thousand, two hundred forty".