34234242402420 has 144 divisors (see below), whose sum is σ = 106741560377088. Its totient is φ = 8874810696960.

The previous prime is 34234242402401. The next prime is 34234242402487. The reversal of 34234242402420 is 2420424243243.

34234242402420 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 4 + 242 + 402 + 4 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5604037 + ... + 9993683.

It is an arithmetic number, because the mean of its divisors is an integer number (741260835952).

Almost surely, 2^{34234242402420} is an apocalyptic number.

34234242402420 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 34234242402420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53370780188544).

34234242402420 is an abundant number, since it is smaller than the sum of its proper divisors (72507317974668).

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

34234242402420 is a wasteful number, since it uses less digits than its factorization.

34234242402420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4390870 (or 4390865 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 34234242402420 its reverse (2420424243243), we get a palindrome (36654666645663).

The spelling of 34234242402420 in words is "thirty-four trillion, two hundred thirty-four billion, two hundred forty-two million, four hundred two thousand, four hundred twenty".