34144033140 has 384 divisors, whose sum is σ = 127111864320. Its totient is φ = 7439579136.

The previous prime is 34144033139. The next prime is 34144033153. The reversal of 34144033140 is 4133044143.

34144033140 is a `hidden beast` number, since 341 + 4 + 4 + 0 + 3 + 314 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37644567 + ... + 37645473.

It is an arithmetic number, because the mean of its divisors is an integer number (331020480).

Almost surely, 2^34144033140 is an apocalyptic number.

34144033140 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 34144033140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63555932160).

34144033140 is an abundant number, since it is smaller than the sum of its proper divisors (92967831180).

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

34144033140 is a wasteful number, since it uses less digits than its factorization.

34144033140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34144033140 its reverse (4133044143), we get a palindrome (38277077283).

The spelling of 34144033140 in words is "thirty-four billion, one hundred forty-four million, thirty-three thousand, one hundred forty".