34227217920 has 480 divisors, whose sum is σ = 132900565248. Its totient is φ = 7359823872.

The previous prime is 34227217909. The next prime is 34227217951. The reversal of 34227217920 is 2971272243.

It is a tau number, because it is divible by the number of its divisors (480).

It is a zygodrome in base 2.

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, 15535539 + ... + 15537741.

Almost surely, 2^34227217920 is an apocalyptic number.

34227217920 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 34227217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66450282624).

34227217920 is an abundant number, since it is smaller than the sum of its proper divisors (98673347328).

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

34227217920 is a wasteful number, since it uses less digits than its factorization.

34227217920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 34227217920 in words is "thirty-four billion, two hundred twenty-seven million, two hundred seventeen thousand, nine hundred twenty".