3399067921680 has 240 divisors, whose sum is σ = 11748768280704. Its totient is φ = 880312688640.

The previous prime is 3399067921679. The next prime is 3399067921727. The reversal of 3399067921680 is 861297609933.

3399067921680 is a `hidden beast` number, since 339 + 9 + 0 + 6 + 7 + 9 + 216 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3399067921680² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2928832 + ... + 3921248.

Almost surely, 2^{3399067921680} is an apocalyptic number.

3399067921680 is a gapful number since it is divisible by the number (30) 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 3399067921680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5874384140352).

3399067921680 is an abundant number, since it is smaller than the sum of its proper divisors (8349700359024).

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

3399067921680 is a wasteful number, since it uses less digits than its factorization.

3399067921680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992574 (or 992565 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 3399067921680 in words is "three trillion, three hundred ninety-nine billion, sixty-seven million, nine hundred twenty-one thousand, six hundred eighty".