34820430336 has 480 divisors, whose sum is σ = 112122698688. Its totient is φ = 10749542400.

The previous prime is 34820430329. The next prime is 34820430341. The reversal of 34820430336 is 63303402843.

34820430336 is a `hidden beast` number, since 348 + 2 + 0 + 4 + 303 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34820430336.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213622191 + ... + 213622353.

Almost surely, 2^34820430336 is an apocalyptic number.

34820430336 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 34820430336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56061349344).

34820430336 is an abundant number, since it is smaller than the sum of its proper divisors (77302268352).

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

34820430336 is a wasteful number, since it uses less digits than its factorization.

34820430336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 34820430336 in words is "thirty-four billion, eight hundred twenty million, four hundred thirty thousand, three hundred thirty-six".