3305416241004 has 24 divisors (see below), whose sum is σ = 7821266600448. Its totient is φ = 1086287027280.

The previous prime is 3305416240999. The next prime is 3305416241009. The reversal of 3305416241004 is 4001426145033.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3305416240999) and next prime (3305416241009).

It is not an unprimeable number, because it can be changed into a prime (3305416241009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1939797412 + ... + 1939799115.

It is an arithmetic number, because the mean of its divisors is an integer number (325886108352).

Almost surely, 2^{3305416241004} is an apocalyptic number.

It is an amenable number.

3305416241004 is an abundant number, since it is smaller than the sum of its proper divisors (4515850359444).

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

3305416241004 is a wasteful number, since it uses less digits than its factorization.

3305416241004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879596605 (or 3879596603 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 3305416241004 in words is "three trillion, three hundred five billion, four hundred sixteen million, two hundred forty-one thousand, four".