34261062690960 has 1440 divisors, whose sum is σ = 149562600595200. Its totient is φ = 6964509081600.

The previous prime is 34261062690937. The next prime is 34261062690961. The reversal of 34261062690960 is 6909626016243.

34261062690960 is a `hidden beast` number, since 3 + 4 + 2 + 6 + 1 + 0 + 626 + 9 + 0 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34261062690897 and 34261062690906.

It is not an unprimeable number, because it can be changed into a prime (34261062690961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4660731285 + ... + 4660738635.

It is an arithmetic number, because the mean of its divisors is an integer number (103862917080).

Almost surely, 2^{34261062690960} is an apocalyptic number.

34261062690960 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 34261062690960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74781300297600).

34261062690960 is an abundant number, since it is smaller than the sum of its proper divisors (115301537904240).

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

34261062690960 is a wasteful number, since it uses less digits than its factorization.

34261062690960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7829 (or 7813 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 34261062690960 in words is "thirty-four trillion, two hundred sixty-one billion, sixty-two million, six hundred ninety thousand, nine hundred sixty".