3221475840 has 640 divisors, whose sum is σ = 13199155200. Its totient is φ = 736542720.

The previous prime is 3221475823. The next prime is 3221475869. The reversal of 3221475840 is 485741223.

It is a happy number.

3221475840 is a `hidden beast` number, since 32 + 2 + 1 + 47 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 3221475795 and 3221475804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14445969 + ... + 14446191.

It is an arithmetic number, because the mean of its divisors is an integer number (20623680).

Almost surely, 2^3221475840 is an apocalyptic number.

3221475840 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 3221475840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599577600).

3221475840 is an abundant number, since it is smaller than the sum of its proper divisors (9977679360).

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

3221475840 is a wasteful number, since it uses less digits than its factorization.

3221475840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 3221475840 is about 56758.0464780105. The cubic root of 3221475840 is about 1476.9018218095.

The spelling of 3221475840 in words is "three billion, two hundred twenty-one million, four hundred seventy-five thousand, eight hundred forty".