3419680680 has 512 divisors, whose sum is σ = 12960460800. Its totient is φ = 806215680.

The previous prime is 3419680669. The next prime is 3419680699. The reversal of 3419680680 is 860869143.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 35254392 + ... + 35254488.

It is an arithmetic number, because the mean of its divisors is an integer number (25313400).

Almost surely, 2^3419680680 is an apocalyptic number.

3419680680 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 3419680680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6480230400).

3419680680 is an abundant number, since it is smaller than the sum of its proper divisors (9540780120).

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

3419680680 is a wasteful number, since it uses less digits than its factorization.

3419680680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3419680680 is about 58478.0358767290. The cubic root of 3419680680 is about 1506.5903623438.

The spelling of 3419680680 in words is "three billion, four hundred nineteen million, six hundred eighty thousand, six hundred eighty".