3334904259808 has 192 divisors, whose sum is σ = 7972485212160. Its totient is φ = 1355857920000.

The previous prime is 3334904259793. The next prime is 3334904259847. The reversal of 3334904259808 is 8089524094333.

It is a super-2 number, since 2×3334904259808² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8304288 + ... + 8696608.

It is an arithmetic number, because the mean of its divisors is an integer number (41523360480).

Almost surely, 2^{3334904259808} is an apocalyptic number.

3334904259808 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3334904259808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3986242606080).

3334904259808 is an abundant number, since it is smaller than the sum of its proper divisors (4637580952352).

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

3334904259808 is a wasteful number, since it uses less digits than its factorization.

3334904259808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392433 (or 392425 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 58.

The spelling of 3334904259808 in words is "three trillion, three hundred thirty-four billion, nine hundred four million, two hundred fifty-nine thousand, eight hundred eight".