3419331720 has 384 divisors, whose sum is σ = 12824179200. Its totient is φ = 724598784.

The previous prime is 3419331709. The next prime is 3419331757. The reversal of 3419331720 is 271339143.

It is a super-2 number, since 2×3419331720² = 23383658822796316800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7896624 + ... + 7897056.

It is an arithmetic number, because the mean of its divisors is an integer number (33396300).

Almost surely, 2^3419331720 is an apocalyptic number.

3419331720 is a gapful number since it is divisible by the number (30) 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 3419331720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6412089600).

3419331720 is an abundant number, since it is smaller than the sum of its proper divisors (9404847480).

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

3419331720 is a wasteful number, since it uses less digits than its factorization.

3419331720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 3419331720 is about 58475.0521162658. The cubic root of 3419331720 is about 1506.5391141225.

The spelling of 3419331720 in words is "three billion, four hundred nineteen million, three hundred thirty-one thousand, seven hundred twenty".