3430314000414 has 64 divisors (see below), whose sum is σ = 8791834444800. Its totient is φ = 971098053984.

The previous prime is 3430314000383. The next prime is 3430314000427. The reversal of 3430314000414 is 4140004130343.

3430314000414 is a `hidden beast` number, since 343 + 0 + 314 + 0 + 0 + 0 + 4 + 1 + 4 = 666.

3430314000414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41586802 + ... + 41669205.

It is an arithmetic number, because the mean of its divisors is an integer number (137372413200).

Almost surely, 2^{3430314000414} is an apocalyptic number.

3430314000414 is an abundant number, since it is smaller than the sum of its proper divisors (5361520444386).

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

3430314000414 is a wasteful number, since it uses less digits than its factorization.

3430314000414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83256134 (or 83256128 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 3430314000414 its reverse (4140004130343), we get a palindrome (7570318130757).

The spelling of 3430314000414 in words is "three trillion, four hundred thirty billion, three hundred fourteen million, four hundred fourteen", and thus it is an aban number.