3419965674700 has 72 divisors (see below), whose sum is σ = 7477628557392. Its totient is φ = 1357613537280.

The previous prime is 3419965674673. The next prime is 3419965674703. The reversal of 3419965674700 is 74765699143.

3419965674700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3419965674700² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3419965674703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50615139 + ... + 50682661.

It is an arithmetic number, because the mean of its divisors is an integer number (103855952186).

Almost surely, 2^{3419965674700} 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 3419965674700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3738814278696).

3419965674700 is an abundant number, since it is smaller than the sum of its proper divisors (4057662882692).

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

3419965674700 is a wasteful number, since it uses less digits than its factorization.

3419965674700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71371 (or 71364 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 61.

The spelling of 3419965674700 in words is "three trillion, four hundred nineteen billion, nine hundred sixty-five million, six hundred seventy-four thousand, seven hundred".