3394811939904 has 336 divisors, whose sum is σ = 12537013686400. Its totient is φ = 881768954880.

The previous prime is 3394811939867. The next prime is 3394811939927. The reversal of 3394811939904 is 4099391184933.

3394811939904 is a `hidden beast` number, since 3 + 39 + 481 + 1 + 9 + 39 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303882 + ... + 2623350.

Almost surely, 2^{3394811939904} 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 3394811939904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6268506843200).

3394811939904 is an abundant number, since it is smaller than the sum of its proper divisors (9142201746496).

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

3394811939904 is a wasteful number, since it uses less digits than its factorization.

3394811939904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319519 (or 2319492 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The spelling of 3394811939904 in words is "three trillion, three hundred ninety-four billion, eight hundred eleven million, nine hundred thirty-nine thousand, nine hundred four".