34121461716 has 144 divisors (see below), whose sum is σ = 90214406464. Its totient is φ = 10863756288.

The previous prime is 34121461691. The next prime is 34121461739. The reversal of 34121461716 is 61716412143.

34121461716 is a `hidden beast` number, since 3 + 4 + 1 + 21 + 4 + 617 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38642211 + ... + 38643093.

Almost surely, 2^34121461716 is an apocalyptic number.

34121461716 is a gapful number since it is divisible by the number (36) 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 34121461716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45107203232).

34121461716 is an abundant number, since it is smaller than the sum of its proper divisors (56092944748).

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

34121461716 is a wasteful number, since it uses less digits than its factorization.

34121461716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1425 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

Adding to 34121461716 its reverse (61716412143), we get a palindrome (95837873859).

The spelling of 34121461716 in words is "thirty-four billion, one hundred twenty-one million, four hundred sixty-one thousand, seven hundred sixteen".