3414420210304 has 32 divisors (see below), whose sum is σ = 6826721886900. Its totient is φ = 1701046874112.

The previous prime is 3414420210301. The next prime is 3414420210371. The reversal of 3414420210304 is 4030120244143.

It can be written as a sum of positive squares in 2 ways, for example, as 3156478115904 + 257942094400 = 1776648^2 + 507880^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (3414420210301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48114649 + ... + 48185560.

Almost surely, 2^{3414420210304} is an apocalyptic number.

It is an amenable number.

3414420210304 is a deficient number, since it is larger than the sum of its proper divisors (3412301676596).

3414420210304 is an equidigital number, since it uses as much as digits as its factorization.

3414420210304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96300500 (or 96300488 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 3414420210304 its reverse (4030120244143), we get a palindrome (7444540454447).

The spelling of 3414420210304 in words is "three trillion, four hundred fourteen billion, four hundred twenty million, two hundred ten thousand, three hundred four".