3206440901664 has 2592 divisors, whose sum is σ = 13668194816640. Its totient is φ = 718338170880.

The previous prime is 3206440901641. The next prime is 3206440901687. The reversal of 3206440901664 is 4661090446023.

3206440901664 is a `hidden beast` number, since 3 + 20 + 64 + 409 + 0 + 166 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3206440901641) and next prime (3206440901687).

It is a tau number, because it is divible by the number of its divisors (2592).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 43923847932 + ... + 43923848004.

Almost surely, 2^{3206440901664} 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 3206440901664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6834097408320).

3206440901664 is an abundant number, since it is smaller than the sum of its proper divisors (10461753914976).

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

3206440901664 is a wasteful number, since it uses less digits than its factorization.

3206440901664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 3206440901664 in words is "three trillion, two hundred six billion, four hundred forty million, nine hundred one thousand, six hundred sixty-four".