3419568564 has 96 divisors (see below), whose sum is σ = 8728102656. Its totient is φ = 1037629440.

The previous prime is 3419568563. The next prime is 3419568569. The reversal of 3419568564 is 4658659143.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3419568563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1364937 + ... + 1367439.

It is an arithmetic number, because the mean of its divisors is an integer number (90917736).

Almost surely, 2^3419568564 is an apocalyptic number.

3419568564 is a gapful number since it is divisible by the number (34) 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 3419568564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4364051328).

3419568564 is an abundant number, since it is smaller than the sum of its proper divisors (5308534092).

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

3419568564 is a wasteful number, since it uses less digits than its factorization.

3419568564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2743 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 51.

The square root of 3419568564 is about 58477.0772525440. The cubic root of 3419568564 is about 1506.5738973824.

The spelling of 3419568564 in words is "three billion, four hundred nineteen million, five hundred sixty-eight thousand, five hundred sixty-four".