3221600256 has 576 divisors, whose sum is σ = 11764116000. Its totient is φ = 867041280.

The previous prime is 3221600243. The next prime is 3221600257. The reversal of 3221600256 is 6520061223.

3221600256 is a `hidden beast` number, since 3 + 2 + 2 + 1 + 600 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3221600257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78575596 + ... + 78575636.

Almost surely, 2^3221600256 is an apocalyptic number.

3221600256 is a gapful number since it is divisible by the number (36) 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 3221600256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5882058000).

3221600256 is an abundant number, since it is smaller than the sum of its proper divisors (8542515744).

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

3221600256 is a wasteful number, since it uses less digits than its factorization.

3221600256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 82 counting only the distinct ones).

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

The square root of 3221600256 is about 56759.1424882371. The cubic root of 3221600256 is about 1476.9208346120.

Adding to 3221600256 its reverse (6520061223), we get a palindrome (9741661479).

The spelling of 3221600256 in words is "three billion, two hundred twenty-one million, six hundred thousand, two hundred fifty-six".