34384366080 has 320 divisors, whose sum is σ = 123129262080. Its totient is φ = 9094643712.

The previous prime is 34384366061. The next prime is 34384366109. The reversal of 34384366080 is 8066348343.

34384366080 is a `hidden beast` number, since 3 + 4 + 3 + 8 + 4 + 36 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8776282 + ... + 8780198.

It is an arithmetic number, because the mean of its divisors is an integer number (384778944).

Almost surely, 2^34384366080 is an apocalyptic number.

34384366080 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 34384366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61564631040).

34384366080 is an abundant number, since it is smaller than the sum of its proper divisors (88744896000).

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

34384366080 is a wasteful number, since it uses less digits than its factorization.

34384366080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4076 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 34384366080 in words is "thirty-four billion, three hundred eighty-four million, three hundred sixty-six thousand, eighty".