3466257312 has 192 divisors, whose sum is σ = 10796212224. Its totient is φ = 952888320.

The previous prime is 3466257307. The next prime is 3466257349. The reversal of 3466257312 is 2137526643.

3466257312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4728498 + ... + 4729230.

It is an arithmetic number, because the mean of its divisors is an integer number (56230272).

Almost surely, 2^3466257312 is an apocalyptic number.

3466257312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3466257312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5398106112).

3466257312 is an abundant number, since it is smaller than the sum of its proper divisors (7329954912).

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

3466257312 is a wasteful number, since it uses less digits than its factorization.

3466257312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1003 counting only the distinct ones).

The product of its digits is 181440, while the sum is 39.

The square root of 3466257312 is about 58874.9294012316. The cubic root of 3466257312 is about 1513.3995467847.

The spelling of 3466257312 in words is "three billion, four hundred sixty-six million, two hundred fifty-seven thousand, three hundred twelve".