34775216640 has 720 divisors, whose sum is σ = 131699358648. Its totient is φ = 8472231936.

The previous prime is 34775216563. The next prime is 34775216657. The reversal of 34775216640 is 4661257743.

It can be written as a sum of positive squares in 4 ways, for example, as 24893266176 + 9881950464 = 157776^2 + 99408^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 307745224 + ... + 307745336.

Almost surely, 2^34775216640 is an apocalyptic number.

34775216640 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 34775216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65849679324).

34775216640 is an abundant number, since it is smaller than the sum of its proper divisors (96924142008).

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

34775216640 is a wasteful number, since it uses less digits than its factorization.

34775216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 34775216640 in words is "thirty-four billion, seven hundred seventy-five million, two hundred sixteen thousand, six hundred forty".