3916668417600 has 672 divisors, whose sum is σ = 13567085936640. Its totient is φ = 987296808960.

The previous prime is 3916668417581. The next prime is 3916668417619. The reversal of 3916668417600 is 67148666193.

It is a happy number.

3916668417600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3916668417581) and next prime (3916668417619).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5734506859 + ... + 5734507541.

Almost surely, 2^{3916668417600} is an apocalyptic number.

3916668417600 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 3916668417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6783542968320).

3916668417600 is an abundant number, since it is smaller than the sum of its proper divisors (9650417519040).

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

3916668417600 is a wasteful number, since it uses less digits than its factorization.

3916668417600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 3916668417600 in words is "three trillion, nine hundred sixteen billion, six hundred sixty-eight million, four hundred seventeen thousand, six hundred".