3334906904 has 64 divisors (see below), whose sum is σ = 7576800000. Its totient is φ = 1344221568.

The previous prime is 3334906901. The next prime is 3334906907. The reversal of 3334906904 is 4096094333.

It is an interprime number because it is at equal distance from previous prime (3334906901) and next prime (3334906907).

It is a super-2 number, since 2×3334906904² = 22243208116693730432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3334906901) 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 15 ways as a sum of consecutive naturals, for example, 136622 + ... + 159170.

It is an arithmetic number, because the mean of its divisors is an integer number (118387500).

Almost surely, 2^3334906904 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 3334906904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3788400000).

3334906904 is an abundant number, since it is smaller than the sum of its proper divisors (4241893096).

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

3334906904 is a wasteful number, since it uses less digits than its factorization.

3334906904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22720 (or 22716 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 41.

The square root of 3334906904 is about 57748.6528327718. The cubic root of 3334906904 is about 1494.0366054422.

The spelling of 3334906904 in words is "three billion, three hundred thirty-four million, nine hundred six thousand, nine hundred four".