34677097056 has 384 divisors, whose sum is σ = 122014771200. Its totient is φ = 9367142400.

The previous prime is 34677097051. The next prime is 34677097067. The reversal of 34677097056 is 65079077643.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 34677096993 and 34677097011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34677097051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12378856 + ... + 12381656.

It is an arithmetic number, because the mean of its divisors is an integer number (317746800).

Almost surely, 2^34677097056 is an apocalyptic number.

34677097056 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 34677097056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61007385600).

34677097056 is an abundant number, since it is smaller than the sum of its proper divisors (87337674144).

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

34677097056 is a wasteful number, since it uses less digits than its factorization.

34677097056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 34677097056 in words is "thirty-four billion, six hundred seventy-seven million, ninety-seven thousand, fifty-six".