34380561051648 has 624 divisors, whose sum is σ = 117991069297920. Its totient is φ = 9798741393408.

The previous prime is 34380561051643. The next prime is 34380561051691. The reversal of 34380561051648 is 84615016508343.

It is a happy number.

34380561051648 is a `hidden beast` number, since 3 + 4 + 3 + 8 + 0 + 5 + 610 + 5 + 16 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 34380561051594 and 34380561051603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34380561051643) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2919291136 + ... + 2919302912.

It is an arithmetic number, because the mean of its divisors is an integer number (189088252080).

Almost surely, 2^{34380561051648} 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 34380561051648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58995534648960).

34380561051648 is an abundant number, since it is smaller than the sum of its proper divisors (83610508246272).

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

34380561051648 is an equidigital number, since it uses as much as digits as its factorization.

34380561051648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12242 (or 12208 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 34380561051648 in words is "thirty-four trillion, three hundred eighty billion, five hundred sixty-one million, fifty-one thousand, six hundred forty-eight".