34103040000000 has 960 divisors, whose sum is σ = 116117758987776. Its totient is φ = 8900608000000.

The previous prime is 34103039999999. The next prime is 34103040000017. The reversal of 34103040000000 is 4030143.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 318719999947 + ... + 318720000053.

Almost surely, 2^{34103040000000} is an apocalyptic number.

34103040000000 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 34103040000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58058879493888).

34103040000000 is an abundant number, since it is smaller than the sum of its proper divisors (82014718987776).

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

34103040000000 is an frugal number, since it uses more digits than its factorization.

34103040000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 34103040000000 its reverse (4030143), we get a palindrome (34103044030143).

The spelling of 34103040000000 in words is "thirty-four trillion, one hundred three billion, forty million", and thus it is an aban number.