34946479056 has 80 divisors (see below), whose sum is σ = 94061979648. Its totient is φ = 11167651200.

The previous prime is 34946478997. The next prime is 34946479079. The reversal of 34946479056 is 65097464943.

It is a happy number.

It is a super-2 number, since 2×34946479056² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34946478987 and 34946479005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49471 + ... + 268961.

Almost surely, 2^34946479056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34946479056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47030989824).

34946479056 is an abundant number, since it is smaller than the sum of its proper divisors (59115500592).

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

34946479056 is a wasteful number, since it uses less digits than its factorization.

34946479056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219640 (or 219634 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 57.

The spelling of 34946479056 in words is "thirty-four billion, nine hundred forty-six million, four hundred seventy-nine thousand, fifty-six".