3405466064 has 320 divisors, whose sum is σ = 9652715520. Its totient is φ = 1122854400.

The previous prime is 3405466063. The next prime is 3405466087. The reversal of 3405466064 is 4606645043.

It is a happy number.

It is a super-2 number, since 2×3405466064² = 23194398226111304192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3405466063) 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 63 ways as a sum of consecutive naturals, for example, 109853729 + ... + 109853759.

It is an arithmetic number, because the mean of its divisors is an integer number (30164736).

Almost surely, 2^3405466064 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 3405466064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826357760).

3405466064 is an abundant number, since it is smaller than the sum of its proper divisors (6247249456).

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

3405466064 is a wasteful number, since it uses less digits than its factorization.

3405466064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

The square root of 3405466064 is about 58356.3712374236. The cubic root of 3405466064 is about 1504.4999775976.

The spelling of 3405466064 in words is "three billion, four hundred five million, four hundred sixty-six thousand, sixty-four".