3400564561 has 8 divisors (see below), whose sum is σ = 3521343744. Its totient is φ = 3280478160.

The previous prime is 3400564537. The next prime is 3400564589. The reversal of 3400564561 is 1654650043.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3400564561 - 2⁵ = 3400564529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3400564591) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 163195 + ... + 182848.

It is an arithmetic number, because the mean of its divisors is an integer number (440167968).

Almost surely, 2^3400564561 is an apocalyptic number.

3400564561 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3400564561 is a deficient number, since it is larger than the sum of its proper divisors (120779183).

3400564561 is a wasteful number, since it uses less digits than its factorization.

3400564561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346391.

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 3400564561 is about 58314.3598181443. The cubic root of 3400564561 is about 1503.7778197679. Note that the first 3 decimals are identical.

The spelling of 3400564561 in words is "three billion, four hundred million, five hundred sixty-four thousand, five hundred sixty-one".