34414302210420 has 192 divisors, whose sum is σ = 111357453715200. Its totient is φ = 7848304189440.

The previous prime is 34414302210391. The next prime is 34414302210443. The reversal of 34414302210420 is 2401220341443.

34414302210420 is digitally balanced in base 5, 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22472946 + ... + 23955414.

It is an arithmetic number, because the mean of its divisors is an integer number (579986738100).

Almost surely, 2^{34414302210420} is an apocalyptic number.

34414302210420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34414302210420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55678726857600).

34414302210420 is an abundant number, since it is smaller than the sum of its proper divisors (76943151504780).

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

34414302210420 is a wasteful number, since it uses less digits than its factorization.

34414302210420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484578 (or 1484576 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 34414302210420 its reverse (2401220341443), we get a palindrome (36815522551863).

The spelling of 34414302210420 in words is "thirty-four trillion, four hundred fourteen billion, three hundred two million, two hundred ten thousand, four hundred twenty".