3419887940508 has 192 divisors, whose sum is σ = 9272688122880. Its totient is φ = 971925350400.

The previous prime is 3419887940429. The next prime is 3419887940509. The reversal of 3419887940508 is 8050497889143.

It is a super-3 number, since 3×3419887940508³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3419887940509) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 198926193 + ... + 198943383.

It is an arithmetic number, because the mean of its divisors is an integer number (48295250640).

Almost surely, 2^{3419887940508} is an apocalyptic number.

3419887940508 is a gapful number since it is divisible by the number (38) 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 3419887940508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636344061440).

3419887940508 is an abundant number, since it is smaller than the sum of its proper divisors (5852800182372).

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

3419887940508 is a wasteful number, since it uses less digits than its factorization.

3419887940508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18908 (or 18906 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 66.

The spelling of 3419887940508 in words is "three trillion, four hundred nineteen billion, eight hundred eighty-seven million, nine hundred forty thousand, five hundred eight".