34421441670 has 320 divisors, whose sum is σ = 115707626496. Its totient is φ = 7133080320.

The previous prime is 34421441609. The next prime is 34421441671. The reversal of 34421441670 is 7614412443.

34421441670 is a `hidden beast` number, since 3 + 442 + 144 + 1 + 6 + 70 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34421441671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 40352964 + ... + 40353816.

Almost surely, 2^34421441670 is an apocalyptic number.

34421441670 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34421441670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57853813248).

34421441670 is an abundant number, since it is smaller than the sum of its proper divisors (81286184826).

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

34421441670 is a wasteful number, since it uses less digits than its factorization.

34421441670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 34421441670 in words is "thirty-four billion, four hundred twenty-one million, four hundred forty-one thousand, six hundred seventy".