3302417664 has 432 divisors, whose sum is σ = 12350665600. Its totient is φ = 824131584.

The previous prime is 3302417641. The next prime is 3302417669. The reversal of 3302417664 is 4667142033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3302417669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3983202 + ... + 3984030.

Almost surely, 2^3302417664 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 3302417664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6175332800).

3302417664 is an abundant number, since it is smaller than the sum of its proper divisors (9048247936).

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

3302417664 is a wasteful number, since it uses less digits than its factorization.

3302417664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3302417664 is about 57466.6656767208. The cubic root of 3302417664 is about 1489.1690431492.

Adding to 3302417664 its reverse (4667142033), we get a palindrome (7969559697).

The spelling of 3302417664 in words is "three billion, three hundred two million, four hundred seventeen thousand, six hundred sixty-four".