3466366464 has 160 divisors (see below), whose sum is σ = 10135851264. Its totient is φ = 1043988480.

The previous prime is 3466366459. The next prime is 3466366483. The reversal of 3466366464 is 4646636643.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3260397 + ... + 3261459.

Almost surely, 2^3466366464 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 3466366464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5067925632).

3466366464 is an abundant number, since it is smaller than the sum of its proper divisors (6669484800).

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

3466366464 is a wasteful number, since it uses less digits than its factorization.

3466366464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1272 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 48.

The square root of 3466366464 is about 58875.8563759373. The cubic root of 3466366464 is about 1513.4154322041.

The spelling of 3466366464 in words is "three billion, four hundred sixty-six million, three hundred sixty-six thousand, four hundred sixty-four".