3334466304 has 288 divisors, whose sum is σ = 10878658560. Its totient is φ = 1000968192.

The previous prime is 3334466297. The next prime is 3334466321. The reversal of 3334466304 is 4036644333.

3334466304 is a `hidden beast` number, since 3 + 3 + 344 + 6 + 6 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3334466304² = 22237331065022840832, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3863377 + ... + 3864239.

It is an arithmetic number, because the mean of its divisors is an integer number (37773120).

Almost surely, 2^3334466304 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 3334466304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5439329280).

3334466304 is an abundant number, since it is smaller than the sum of its proper divisors (7544192256).

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

3334466304 is a wasteful number, since it uses less digits than its factorization.

3334466304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

The square root of 3334466304 is about 57744.8378991577. The cubic root of 3334466304 is about 1493.9708063520.

The spelling of 3334466304 in words is "three billion, three hundred thirty-four million, four hundred sixty-six thousand, three hundred four".