34421200320000 has 400 divisors, whose sum is σ = 123403159036080. Its totient is φ = 8472907776000.

The previous prime is 34421200319977. The next prime is 34421200320007. The reversal of 34421200320000 is 2300212443.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34421200320007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11100946 + ... + 13859054.

Almost surely, 2^{34421200320000} is an apocalyptic number.

34421200320000 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 34421200320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61701579518040).

34421200320000 is an abundant number, since it is smaller than the sum of its proper divisors (88981958716080).

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

34421200320000 is an equidigital number, since it uses as much as digits as its factorization.

34421200320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2758163 (or 2758132 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 34421200320000 its reverse (2300212443), we get a palindrome (34423500532443).

The spelling of 34421200320000 in words is "thirty-four trillion, four hundred twenty-one billion, two hundred million, three hundred twenty thousand".