34797350321856 has 336 divisors, whose sum is σ = 105550252704000. Its totient is φ = 10930117625856.

The previous prime is 34797350321807. The next prime is 34797350321857. The reversal of 34797350321856 is 65812305379743.

34797350321856 is a `hidden beast` number, since 3 + 4 + 7 + 9 + 73 + 503 + 2 + 1 + 8 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34797350321793 and 34797350321802.

It is not an unprimeable number, because it can be changed into a prime (34797350321857) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1815851731 + ... + 1815870893.

It is a 1-persistent number, because it is pandigital, but 2⋅34797350321856 = 69594700643712 is not.

Almost surely, 2^{34797350321856} is an apocalyptic number.

34797350321856 is a gapful number since it is divisible by the number (36) 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 34797350321856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52775126352000).

34797350321856 is an abundant number, since it is smaller than the sum of its proper divisors (70752902382144).

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

34797350321856 is a wasteful number, since it uses less digits than its factorization.

34797350321856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20076 (or 20063 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 34797350321856 in words is "thirty-four trillion, seven hundred ninety-seven billion, three hundred fifty million, three hundred twenty-one thousand, eight hundred fifty-six".