34420892768640 has 1536 divisors, whose sum is σ = 144488969856000. Its totient is φ = 7816825368576.

The previous prime is 34420892768597. The next prime is 34420892768641. The reversal of 34420892768640 is 4686729802443.

34420892768640 is a `hidden beast` number, since 3 + 4 + 420 + 8 + 92 + 7 + 6 + 86 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34420892768641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11179242621 + ... + 11179245699.

It is an arithmetic number, because the mean of its divisors is an integer number (94068339750).

Almost surely, 2^{34420892768640} is an apocalyptic number.

34420892768640 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 34420892768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72244484928000).

34420892768640 is an abundant number, since it is smaller than the sum of its proper divisors (110068077087360).

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

34420892768640 is an equidigital number, since it uses as much as digits as its factorization.

34420892768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 34420892768640 in words is "thirty-four trillion, four hundred twenty billion, eight hundred ninety-two million, seven hundred sixty-eight thousand, six hundred forty".