34044003200144 has 160 divisors (see below), whose sum is σ = 76344177659904. Its totient is φ = 14405555473920.

The previous prime is 34044003200101. The next prime is 34044003200161. The reversal of 34044003200144 is 44100230044043.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3291496637 + ... + 3291506979.

Almost surely, 2^{34044003200144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34044003200144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38172088829952).

34044003200144 is an abundant number, since it is smaller than the sum of its proper divisors (42300174459760).

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

34044003200144 is a wasteful number, since it uses less digits than its factorization.

34044003200144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11605 (or 11599 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 34044003200144 its reverse (44100230044043), we get a palindrome (78144233244187).

The spelling of 34044003200144 in words is "thirty-four trillion, forty-four billion, three million, two hundred thousand, one hundred forty-four".