3221936640 has 480 divisors, whose sum is σ = 12440203776. Its totient is φ = 765296640.

The previous prime is 3221936639. The next prime is 3221936659. The reversal of 3221936640 is 466391223.

3221936640 is a `hidden beast` number, since 3 + 2 + 2 + 1 + 9 + 3 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 3221936595 and 3221936604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9284947 + ... + 9285293.

Almost surely, 2^3221936640 is an apocalyptic number.

3221936640 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 3221936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220101888).

3221936640 is an abundant number, since it is smaller than the sum of its proper divisors (9218267136).

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

3221936640 is a wasteful number, since it uses less digits than its factorization.

3221936640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3221936640 is about 56762.1056691874. The cubic root of 3221936640 is about 1476.9722371457.

The spelling of 3221936640 in words is "three billion, two hundred twenty-one million, nine hundred thirty-six thousand, six hundred forty".