3419965675770 has 128 divisors (see below), whose sum is σ = 9613098012672. Its totient is φ = 762336576000.

The previous prime is 3419965675757. The next prime is 3419965675771. The reversal of 3419965675770 is 775765699143.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3419965675695 and 3419965675704.

It is not an unprimeable number, because it can be changed into a prime (3419965675771) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 21886257 + ... + 22041963.

It is an arithmetic number, because the mean of its divisors is an integer number (75102328224).

Almost surely, 2^{3419965675770} is an apocalyptic number.

3419965675770 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3419965675770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4806549006336).

3419965675770 is an abundant number, since it is smaller than the sum of its proper divisors (6193132336902).

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

3419965675770 is a wasteful number, since it uses less digits than its factorization.

3419965675770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158316.

The product of its (nonzero) digits is 300056400, while the sum is 69.

The spelling of 3419965675770 in words is "three trillion, four hundred nineteen billion, nine hundred sixty-five million, six hundred seventy-five thousand, seven hundred seventy".