3340576512 has 576 divisors, whose sum is σ = 12526940160. Its totient is φ = 854654976.

The previous prime is 3340576453. The next prime is 3340576513. The reversal of 3340576512 is 2156750433.

3340576512 is a `hidden beast` number, since 3 + 34 + 0 + 576 + 51 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3340576512² = 22318902865052172288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3340576513) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 29562568 + ... + 29562680.

It is an arithmetic number, because the mean of its divisors is an integer number (21748160).

Almost surely, 2^3340576512 is an apocalyptic number.

3340576512 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 3340576512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6263470080).

3340576512 is an abundant number, since it is smaller than the sum of its proper divisors (9186363648).

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

3340576512 is a wasteful number, since it uses less digits than its factorization.

3340576512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 3340576512 is about 57797.7206470982. The cubic root of 3340576512 is about 1494.8827866030.

The spelling of 3340576512 in words is "three billion, three hundred forty million, five hundred seventy-six thousand, five hundred twelve".