34421332320 has 240 divisors, whose sum is σ = 122010688800. Its totient is φ = 9138825216.

The previous prime is 34421332313. The next prime is 34421332339. The reversal of 34421332320 is 2323312443.

34421332320 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 1 + 332 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 3013981 + ... + 3025379.

It is an arithmetic number, because the mean of its divisors is an integer number (508377870).

Almost surely, 2^34421332320 is an apocalyptic number.

34421332320 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 34421332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61005344400).

34421332320 is an abundant number, since it is smaller than the sum of its proper divisors (87589356480).

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

34421332320 is a wasteful number, since it uses less digits than its factorization.

34421332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11659 (or 11642 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 34421332320 its reverse (2323312443), we get a palindrome (36744644763).

The spelling of 34421332320 in words is "thirty-four billion, four hundred twenty-one million, three hundred thirty-two thousand, three hundred twenty".