3414302000 has 80 divisors (see below), whose sum is σ = 8286930912. Its totient is φ = 1360569600.

The previous prime is 3414301997. The next prime is 3414302051. The reversal of 3414302000 is 2034143.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 3414302000.

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 15 ways as a sum of consecutive naturals, for example, 550919 + ... + 557081.

Almost surely, 2^3414302000 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 3414302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4143465456).

3414302000 is an abundant number, since it is smaller than the sum of its proper divisors (4872628912).

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

3414302000 is a wasteful number, since it uses less digits than its factorization.

3414302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6463 (or 6447 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3414302000 is about 58432.0288882733. The cubic root of 3414302000 is about 1505.8000624624.

Adding to 3414302000 its reverse (2034143), we get a palindrome (3416336143).

The spelling of 3414302000 in words is "three billion, four hundred fourteen million, three hundred two thousand".