3222585450 has 216 divisors, whose sum is σ = 10665251532. Its totient is φ = 693181440.

The previous prime is 3222585437. The next prime is 3222585461. The reversal of 3222585450 is 545852223.

It is a happy number.

3222585450 is a `hidden beast` number, since 3 + 2 + 22 + 585 + 4 + 50 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1976424849 + 1246160601 = 44457^2 + 35301^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 370552 + ... + 379148.

Almost surely, 2^3222585450 is an apocalyptic number.

3222585450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3222585450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5332625766).

3222585450 is an abundant number, since it is smaller than the sum of its proper divisors (7442666082).

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

3222585450 is a wasteful number, since it uses less digits than its factorization.

3222585450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8646 (or 8631 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 3222585450 is about 56767.8205500264. The cubic root of 3222585450 is about 1477.0713711085.

The spelling of 3222585450 in words is "three billion, two hundred twenty-two million, five hundred eighty-five thousand, four hundred fifty".