34956805443072 has 80 divisors (see below), whose sum is σ = 93128989696512. Its totient is φ = 11652033853440.

The previous prime is 34956805443061. The next prime is 34956805443089. The reversal of 34956805443072 is 27034450865943.

It is a junction number, because it is equal to n+sod(n) for n = 34956805442997 and 34956805443015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86845863 + ... + 87247449.

Almost surely, 2^{34956805443072} is an apocalyptic number.

34956805443072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34956805443072 is an abundant number, since it is smaller than the sum of its proper divisors (58172184253440).

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

34956805443072 is an equidigital number, since it uses as much as digits as its factorization.

34956805443072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458279 (or 458263 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 60.

The spelling of 34956805443072 in words is "thirty-four trillion, nine hundred fifty-six billion, eight hundred five million, four hundred forty-three thousand, seventy-two".