34461597012480 has 1080 divisors, whose sum is σ = 139360635450036. Its totient is φ = 7862711746560.

The previous prime is 34461597012461. The next prime is 34461597012511. The reversal of 34461597012480 is 8421079516443.

34461597012480 is a `hidden beast` number, since 3 + 4 + 4 + 6 + 1 + 597 + 0 + 1 + 2 + 48 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 16757429965056 + 17704167047424 = 4093584^2 + 4207632^2 .

It is a super-2 number, since 2×34461597012480² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 805664374 + ... + 805707146.

It is a 1-persistent number, because it is pandigital, but 2⋅34461597012480 = 68923194024960 is not.

Almost surely, 2^{34461597012480} is an apocalyptic number.

34461597012480 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 34461597012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69680317725018).

34461597012480 is an abundant number, since it is smaller than the sum of its proper divisors (104899038437556).

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

34461597012480 is a wasteful number, since it uses less digits than its factorization.

34461597012480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42858 (or 42811 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 34461597012480 in words is "thirty-four trillion, four hundred sixty-one billion, five hundred ninety-seven million, twelve thousand, four hundred eighty".