34816621248 has 168 divisors, whose sum is σ = 106501704192. Its totient is φ = 10836467712.

The previous prime is 34816621219. The next prime is 34816621291. The reversal of 34816621248 is 84212661843.

34816621248 is a `hidden beast` number, since 3 + 4 + 8 + 16 + 621 + 2 + 4 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1229586 + ... + 1257582.

Almost surely, 2^34816621248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34816621248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53250852096).

34816621248 is an abundant number, since it is smaller than the sum of its proper divisors (71685082944).

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

34816621248 is a wasteful number, since it uses less digits than its factorization.

34816621248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28159 (or 28146 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 34816621248 in words is "thirty-four billion, eight hundred sixteen million, six hundred twenty-one thousand, two hundred forty-eight".