3433457664 has 576 divisors, whose sum is σ = 12878611200. Its totient is φ = 856424448.

The previous prime is 3433457663. The next prime is 3433457693. The reversal of 3433457664 is 4667543343.

3433457664 is a `hidden beast` number, since 3 + 43 + 34 + 576 + 6 + 4 = 666.

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

Its product of digits (2177280) is a multiple of the sum of its prime factors (160).

It is not an unprimeable number, because it can be changed into a prime (3433457663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38578132 + ... + 38578220.

It is an arithmetic number, because the mean of its divisors is an integer number (22358700).

Almost surely, 2^3433457664 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 3433457664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6439305600).

3433457664 is an abundant number, since it is smaller than the sum of its proper divisors (9445153536).

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

3433457664 is a wasteful number, since it uses less digits than its factorization.

3433457664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 45.

The square root of 3433457664 is about 58595.7136998945. The cubic root of 3433457664 is about 1508.6108687052.

The spelling of 3433457664 in words is "three billion, four hundred thirty-three million, four hundred fifty-seven thousand, six hundred sixty-four".