34963135537356 has 96 divisors (see below), whose sum is σ = 98264347865600. Its totient is φ = 10686643502400.

The previous prime is 34963135537349. The next prime is 34963135537361. The reversal of 34963135537356 is 65373553136943.

34963135537356 is a `hidden beast` number, since 3 + 4 + 9 + 6 + 3 + 1 + 3 + 553 + 73 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34963135537293 and 34963135537302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82246666 + ... + 82670673.

Almost surely, 2^{34963135537356} is an apocalyptic number.

34963135537356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34963135537356 is an abundant number, since it is smaller than the sum of its proper divisors (63301212328244).

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

34963135537356 is a wasteful number, since it uses less digits than its factorization.

34963135537356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164917516 (or 164917508 counting only the distinct ones).

The product of its digits is 275562000, while the sum is 63.

The spelling of 34963135537356 in words is "thirty-four trillion, nine hundred sixty-three billion, one hundred thirty-five million, five hundred thirty-seven thousand, three hundred fifty-six".