3223793664 has 468 divisors, whose sum is σ = 11842613328. Its totient is φ = 822804480.

The previous prime is 3223793659. The next prime is 3223793687. The reversal of 3223793664 is 4663973223.

It is a tau number, because it is divible by the number of its divisors (468).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (979776) is a multiple of the sum of its prime divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103993329 + ... + 103993359.

Almost surely, 2^3223793664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3223793664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5921306664).

3223793664 is an abundant number, since it is smaller than the sum of its proper divisors (8618819664).

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

3223793664 is a wasteful number, since it uses less digits than its factorization.

3223793664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 56 counting only the distinct ones).

The product of its digits is 979776, while the sum is 45.

The square root of 3223793664 is about 56778.4612683366. The cubic root of 3223793664 is about 1477.2559429224.

The spelling of 3223793664 in words is "three billion, two hundred twenty-three million, seven hundred ninety-three thousand, six hundred sixty-four".