34028680656 has 160 divisors (see below), whose sum is σ = 91797680128. Its totient is φ = 10850319360.

The previous prime is 34028680633. The next prime is 34028680657. The reversal of 34028680656 is 65608682043.

It is a super-2 number, since 2×34028680656² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34028680657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74460780 + ... + 74461236.

Almost surely, 2^34028680656 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 34028680656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45898840064).

34028680656 is an abundant number, since it is smaller than the sum of its proper divisors (57768999472).

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

34028680656 is a wasteful number, since it uses less digits than its factorization.

34028680656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 34028680656 in words is "thirty-four billion, twenty-eight million, six hundred eighty thousand, six hundred fifty-six".