34223648616 has 96 divisors (see below), whose sum is σ = 97647170400. Its totient is φ = 10798634880.

The previous prime is 34223648609. The next prime is 34223648621. The reversal of 34223648616 is 61684632243.

34223648616 is a `hidden beast` number, since 3 + 4 + 2 + 23 + 6 + 4 + 8 + 616 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 1778406 + ... + 1797546.

It is an arithmetic number, because the mean of its divisors is an integer number (1017158025).

Almost surely, 2^34223648616 is an apocalyptic number.

34223648616 is a gapful number since it is divisible by the number (36) 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 34223648616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48823585200).

34223648616 is an abundant number, since it is smaller than the sum of its proper divisors (63423521784).

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

34223648616 is a wasteful number, since it uses less digits than its factorization.

34223648616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20479 (or 20472 counting only the distinct ones).

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

The spelling of 34223648616 in words is "thirty-four billion, two hundred twenty-three million, six hundred forty-eight thousand, six hundred sixteen".