3305461076460 has 144 divisors (see below), whose sum is σ = 10351054651392. Its totient is φ = 852935529600.

The previous prime is 3305461076443. The next prime is 3305461076473. The reversal of 3305461076460 is 646701645033.

3305461076460 is a `hidden beast` number, since 3 + 30 + 54 + 6 + 107 + 6 + 460 = 666.

It is a super-2 number, since 2×3305461076460² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69117877 + ... + 69165683.

It is an arithmetic number, because the mean of its divisors is an integer number (71882323968).

Almost surely, 2^{3305461076460} is an apocalyptic number.

3305461076460 is a gapful number since it is divisible by the number (30) 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 3305461076460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5175527325696).

3305461076460 is an abundant number, since it is smaller than the sum of its proper divisors (7045593574932).

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

3305461076460 is a wasteful number, since it uses less digits than its factorization.

3305461076460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60244 (or 60239 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 3305461076460 in words is "three trillion, three hundred five billion, four hundred sixty-one million, seventy-six thousand, four hundred sixty".