3427136568 has 80 divisors (see below), whose sum is σ = 9616073280. Its totient is φ = 1140365952.

The previous prime is 3427136561. The next prime is 3427136579. The reversal of 3427136568 is 8656317243.

3427136568 is a `hidden beast` number, since 34 + 27 + 1 + 36 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3427136561) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 388980 + ... + 397692.

It is an arithmetic number, because the mean of its divisors is an integer number (120200916).

Almost surely, 2^3427136568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3427136568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4808036640).

3427136568 is an abundant number, since it is smaller than the sum of its proper divisors (6188936712).

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

3427136568 is a wasteful number, since it uses less digits than its factorization.

3427136568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9338 (or 9325 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 3427136568 is about 58541.7506400347. The cubic root of 3427136568 is about 1507.6845010686.

It can be divided in two parts, 342713 and 6568, that added together give a square (349281 = 591²).

The spelling of 3427136568 in words is "three billion, four hundred twenty-seven million, one hundred thirty-six thousand, five hundred sixty-eight".