3419581914 has 192 divisors, whose sum is σ = 9329541120. Its totient is φ = 924346080.

The previous prime is 3419581901. The next prime is 3419581927. The reversal of 3419581914 is 4191859143.

It is an interprime number because it is at equal distance from previous prime (3419581901) and next prime (3419581927).

It is a self number, because there is not a number n which added to its sum of digits gives 3419581914.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3854779 + ... + 3855665.

It is an arithmetic number, because the mean of its divisors is an integer number (48591360).

Almost surely, 2^3419581914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3419581914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4664770560).

3419581914 is an abundant number, since it is smaller than the sum of its proper divisors (5909959206).

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

3419581914 is a wasteful number, since it uses less digits than its factorization.

3419581914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 977 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 3419581914 is about 58477.1913997244. The cubic root of 3419581914 is about 1506.5758579353.

The spelling of 3419581914 in words is "three billion, four hundred nineteen million, five hundred eighty-one thousand, nine hundred fourteen".