34066556340 has 96 divisors (see below), whose sum is σ = 97122533760. Its totient is φ = 8919446016.

The previous prime is 34066556339. The next prime is 34066556341. The reversal of 34066556340 is 4365566043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34066556339) and next prime (34066556341).

It is a junction number, because it is equal to n+sod(n) for n = 34066556292 and 34066556301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34066556341) 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, 3099094 + ... + 3110066.

It is an arithmetic number, because the mean of its divisors is an integer number (1011693060).

Almost surely, 2^34066556340 is an apocalyptic number.

34066556340 is a gapful number since it is divisible by the number (30) 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 34066556340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48561266880).

34066556340 is an abundant number, since it is smaller than the sum of its proper divisors (63055977420).

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

34066556340 is a wasteful number, since it uses less digits than its factorization.

34066556340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11921 (or 11919 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 34066556340 in words is "thirty-four billion, sixty-six million, five hundred fifty-six thousand, three hundred forty".