34013013210 has 256 divisors, whose sum is σ = 104467968000. Its totient is φ = 7788130560.

The previous prime is 34013013179. The next prime is 34013013227. The reversal of 34013013210 is 1231031043.

34013013210 is a `hidden beast` number, since 3 + 40 + 1 + 301 + 321 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24772084 + ... + 24773456.

It is an arithmetic number, because the mean of its divisors is an integer number (408078000).

Almost surely, 2^34013013210 is an apocalyptic number.

34013013210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34013013210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52233984000).

34013013210 is an abundant number, since it is smaller than the sum of its proper divisors (70454954790).

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

34013013210 is a wasteful number, since it uses less digits than its factorization.

34013013210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 34013013210 its reverse (1231031043), we get a palindrome (35244044253).

The spelling of 34013013210 in words is "thirty-four billion, thirteen million, thirteen thousand, two hundred ten".