3414114304 has 60 divisors (see below), whose sum is σ = 6870060288. Its totient is φ = 1696563200.

The previous prime is 3414114293. The next prime is 3414114329. The reversal of 3414114304 is 4034114143.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3128799 + ... + 3129889.

Almost surely, 2^3414114304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3414114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435030144).

3414114304 is an abundant number, since it is smaller than the sum of its proper divisors (3455945984).

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

3414114304 is an equidigital number, since it uses as much as digits as its factorization.

3414114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 3414114304 is about 58430.4227607502. The cubic root of 3414114304 is about 1505.7724689428.

Adding to 3414114304 its reverse (4034114143), we get a palindrome (7448228447).

The spelling of 3414114304 in words is "three billion, four hundred fourteen million, one hundred fourteen thousand, three hundred four".