34222421332080 has 120 divisors (see below), whose sum is σ = 115196958976320. Its totient is φ = 9104804974080.

The previous prime is 34222421332079. The next prime is 34222421332123. The reversal of 34222421332080 is 8023312422243.

34222421332080 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 242 + 1 + 332 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54830215 + ... + 55450854.

It is an arithmetic number, because the mean of its divisors is an integer number (959974658136).

Almost surely, 2^{34222421332080} is an apocalyptic number.

34222421332080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34222421332080 is an abundant number, since it is smaller than the sum of its proper divisors (80974537644240).

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

34222421332080 is a wasteful number, since it uses less digits than its factorization.

34222421332080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110281519 (or 110281510 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 34222421332080 in words is "thirty-four trillion, two hundred twenty-two billion, four hundred twenty-one million, three hundred thirty-two thousand, eighty".