34820830440 has 192 divisors, whose sum is σ = 124589836800. Its totient is φ = 8363865600.

The previous prime is 34820830433. The next prime is 34820830469. The reversal of 34820830440 is 4403802843.

34820830440 is a `hidden beast` number, since 3 + 4 + 8 + 208 + 3 + 0 + 440 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 34820830395 and 34820830404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391305 + ... + 471975.

It is an arithmetic number, because the mean of its divisors is an integer number (648905400).

Almost surely, 2^34820830440 is an apocalyptic number.

34820830440 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 34820830440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62294918400).

34820830440 is an abundant number, since it is smaller than the sum of its proper divisors (89769006360).

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

34820830440 is a wasteful number, since it uses less digits than its factorization.

34820830440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80808 (or 80801 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 34820830440 in words is "thirty-four billion, eight hundred twenty million, eight hundred thirty thousand, four hundred forty".