3419776416680 has 512 divisors, whose sum is σ = 9273122611200. Its totient is φ = 1124057088000.

The previous prime is 3419776416631. The next prime is 3419776416697. The reversal of 3419776416680 is 866146779143.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1220911280 + ... + 1220914080.

It is an arithmetic number, because the mean of its divisors is an integer number (18111567600).

Almost surely, 2^{3419776416680} 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 3419776416680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636561305600).

3419776416680 is an abundant number, since it is smaller than the sum of its proper divisors (5853346194520).

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

3419776416680 is a wasteful number, since it uses less digits than its factorization.

3419776416680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3005 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 62.

The spelling of 3419776416680 in words is "three trillion, four hundred nineteen billion, seven hundred seventy-six million, four hundred sixteen thousand, six hundred eighty".