3221267004450 has 960 divisors, whose sum is σ = 10534000637952. Its totient is φ = 722015078400.

The previous prime is 3221267004401. The next prime is 3221267004451. The reversal of 3221267004450 is 544007621223.

3221267004450 is a `hidden beast` number, since 3 + 22 + 126 + 70 + 0 + 445 + 0 = 666.

It is a super-2 number, since 2×3221267004450² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3221267004451) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4978774027 + ... + 4978774673.

Almost surely, 2^{3221267004450} is an apocalyptic number.

3221267004450 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 3221267004450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5267000318976).

3221267004450 is an abundant number, since it is smaller than the sum of its proper divisors (7312733633502).

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

3221267004450 is a wasteful number, since it uses less digits than its factorization.

3221267004450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 3221267004450 in words is "three trillion, two hundred twenty-one billion, two hundred sixty-seven million, four thousand, four hundred fifty".