3394007113728 has 672 divisors, whose sum is σ = 11486390243328. Its totient is φ = 872449966080.

The previous prime is 3394007113649. The next prime is 3394007113789. The reversal of 3394007113728 is 8273117004933.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2144034025 + ... + 2144035607.

It is an arithmetic number, because the mean of its divisors is an integer number (17092842624).

Almost surely, 2^{3394007113728} 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 3394007113728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5743195121664).

3394007113728 is an abundant number, since it is smaller than the sum of its proper divisors (8092383129600).

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

3394007113728 is a wasteful number, since it uses less digits than its factorization.

3394007113728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 3394007113728 in words is "three trillion, three hundred ninety-four billion, seven million, one hundred thirteen thousand, seven hundred twenty-eight".