3494668806720 has 672 divisors, whose sum is σ = 14907176444160. Its totient is φ = 731701002240.

The previous prime is 3494668806703. The next prime is 3494668806721. The reversal of 3494668806720 is 276088664943.

3494668806720 is a `hidden beast` number, since 3 + 494 + 6 + 6 + 8 + 80 + 67 + 2 + 0 = 666.

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 (63).

It is not an unprimeable number, because it can be changed into a prime (3494668806721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34281586 + ... + 34383374.

It is an arithmetic number, because the mean of its divisors is an integer number (22183298280).

Almost surely, 2^{3494668806720} is an apocalyptic number.

3494668806720 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 3494668806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7453588222080).

3494668806720 is an abundant number, since it is smaller than the sum of its proper divisors (11412507637440).

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

3494668806720 is a wasteful number, since it uses less digits than its factorization.

3494668806720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101963 (or 101950 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 3494668806720 in words is "three trillion, four hundred ninety-four billion, six hundred sixty-eight million, eight hundred six thousand, seven hundred twenty".