34304421432120 has 384 divisors, whose sum is σ = 118833426915840. Its totient is φ = 7760614717440.

The previous prime is 34304421432097. The next prime is 34304421432163. The reversal of 34304421432120 is 2123412440343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16097803455 + ... + 16097805585.

It is an arithmetic number, because the mean of its divisors is an integer number (309462049260).

Almost surely, 2^{34304421432120} is an apocalyptic number.

34304421432120 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 34304421432120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59416713457920).

34304421432120 is an abundant number, since it is smaller than the sum of its proper divisors (84529005483720).

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

34304421432120 is a wasteful number, since it uses less digits than its factorization.

34304421432120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3983 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 34304421432120 its reverse (2123412440343), we get a palindrome (36427833872463).

The spelling of 34304421432120 in words is "thirty-four trillion, three hundred four billion, four hundred twenty-one million, four hundred thirty-two thousand, one hundred twenty".