3394973564928 has 960 divisors, whose sum is σ = 11527868115720. Its totient is φ = 995593420800.

The previous prime is 3394973564863. The next prime is 3394973564951. The reversal of 3394973564928 is 8294653794933.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3394973564928 is a `hidden beast` number, since 3 + 39 + 4 + 9 + 7 + 3 + 564 + 9 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 109515276273 + ... + 109515276303.

Almost surely, 2^{3394973564928} 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 3394973564928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5763934057860).

3394973564928 is an abundant number, since it is smaller than the sum of its proper divisors (8132894550792).

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

3394973564928 is an frugal number, since it uses more digits than its factorization.

3394973564928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 47 counting only the distinct ones).

The product of its digits is 1058158080, while the sum is 72.

The spelling of 3394973564928 in words is "three trillion, three hundred ninety-four billion, nine hundred seventy-three million, five hundred sixty-four thousand, nine hundred twenty-eight".