34208716392144 has 240 divisors, whose sum is σ = 116456240609280. Its totient is φ = 9150819471360.

The previous prime is 34208716392143. The next prime is 34208716392203. The reversal of 34208716392144 is 44129361780243.

34208716392144 is a `hidden beast` number, since 3 + 4 + 20 + 87 + 16 + 392 + 144 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34208716392143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1952959 + ... + 8498910.

It is an arithmetic number, because the mean of its divisors is an integer number (485234335872).

Almost surely, 2^{34208716392144} is an apocalyptic number.

34208716392144 is a gapful number since it is divisible by the number (34) 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 34208716392144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58228120304640).

34208716392144 is an abundant number, since it is smaller than the sum of its proper divisors (82247524217136).

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

34208716392144 is a wasteful number, since it uses less digits than its factorization.

34208716392144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10452098 (or 10452089 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 34208716392144 in words is "thirty-four trillion, two hundred eight billion, seven hundred sixteen million, three hundred ninety-two thousand, one hundred forty-four".