3466610784 has 672 divisors, whose sum is σ = 13326695424. Its totient is φ = 862202880.

The previous prime is 3466610783. The next prime is 3466610843. The reversal of 3466610784 is 4870166643.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3466610783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 48825469 + ... + 48825539.

It is an arithmetic number, because the mean of its divisors is an integer number (19831392).

Almost surely, 2^3466610784 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 3466610784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6663347712).

3466610784 is an abundant number, since it is smaller than the sum of its proper divisors (9860084640).

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

3466610784 is a wasteful number, since it uses less digits than its factorization.

3466610784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3466610784 is about 58877.9312136559. The cubic root of 3466610784 is about 1513.4509880689.

The spelling of 3466610784 in words is "three billion, four hundred sixty-six million, six hundred ten thousand, seven hundred eighty-four".