3419435814912 has 624 divisors, whose sum is σ = 11288765429760. Its totient is φ = 988575694848.

The previous prime is 3419435814889. The next prime is 3419435814917. The reversal of 3419435814912 is 2194185349143.

3419435814912 is a `hidden beast` number, since 3 + 4 + 1 + 9 + 4 + 3 + 581 + 49 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3419435814917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1156385338 + ... + 1156388294.

It is an arithmetic number, because the mean of its divisors is an integer number (18090970240).

Almost surely, 2^{3419435814912} is an apocalyptic number.

3419435814912 is a gapful number since it is divisible by the number (32) 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 3419435814912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5644382714880).

3419435814912 is an abundant number, since it is smaller than the sum of its proper divisors (7869329614848).

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

3419435814912 is a wasteful number, since it uses less digits than its factorization.

3419435814912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146 (or 3121 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 3419435814912 in words is "three trillion, four hundred nineteen billion, four hundred thirty-five million, eight hundred fourteen thousand, nine hundred twelve".