34421202097920 has 1584 divisors, whose sum is σ = 142082712777600. Its totient is φ = 7901719879680.

The previous prime is 34421202097889. The next prime is 34421202097937. The reversal of 34421202097920 is 2979020212443.

34421202097920 is a `hidden beast` number, since 3 + 442 + 12 + 0 + 20 + 97 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 15796787391 + ... + 15796789569.

Almost surely, 2^{34421202097920} is an apocalyptic number.

34421202097920 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 34421202097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71041356388800).

34421202097920 is an abundant number, since it is smaller than the sum of its proper divisors (107661510679680).

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

34421202097920 is an equidigital number, since it uses as much as digits as its factorization.

34421202097920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 34421202097920 in words is "thirty-four trillion, four hundred twenty-one billion, two hundred two million, ninety-seven thousand, nine hundred twenty".