34710000000 has 512 divisors, whose sum is σ = 125507491200. Its totient is φ = 8448000000.

The previous prime is 34709999999. The next prime is 34710000011. The reversal of 34710000000 is 1743.

It is a super-3 number, since 3×34710000000³ (a number of 33 digits) contains 333 as substring.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 4450 × 1950 × 4000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 389999956 + ... + 390000044.

Almost surely, 2^34710000000 is an apocalyptic number.

34710000000 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 34710000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62753745600).

34710000000 is an abundant number, since it is smaller than the sum of its proper divisors (90797491200).

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

34710000000 is an frugal number, since it uses more digits than its factorization.

34710000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

Adding to 34710000000 its reverse (1743), we get a palindrome (34710001743).

The spelling of 34710000000 in words is "thirty-four billion, seven hundred ten million", and thus it is an aban number.