34803021006 has 80 divisors (see below), whose sum is σ = 84031642464. Its totient is φ = 10702466496.

The previous prime is 34803020981. The next prime is 34803021013. The reversal of 34803021006 is 60012030843.

It is a happy number.

34803021006 is a `hidden beast` number, since 348 + 0 + 302 + 10 + 0 + 6 = 666.

It is a super-2 number, since 2×34803021006² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 4825455 + ... + 4832661.

Almost surely, 2^34803021006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34803021006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42015821232).

34803021006 is an abundant number, since it is smaller than the sum of its proper divisors (49228621458).

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

34803021006 is a wasteful number, since it uses less digits than its factorization.

34803021006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9527 (or 9518 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 34803021006 its reverse (60012030843), we get a palindrome (94815051849).

The spelling of 34803021006 in words is "thirty-four billion, eight hundred three million, twenty-one thousand, six".