34001044000 has 384 divisors, whose sum is σ = 105281938944. Its totient is φ = 10483200000.

The previous prime is 34001043991. The next prime is 34001044009. The reversal of 34001044000 is 44010043.

It is an interprime number because it is at equal distance from previous prime (34001043991) and next prime (34001044009).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (34001044009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31107454 + ... + 31108546.

It is an arithmetic number, because the mean of its divisors is an integer number (274171716).

Almost surely, 2^34001044000 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 34001044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52640969472).

34001044000 is an abundant number, since it is smaller than the sum of its proper divisors (71280894944).

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

34001044000 is a wasteful number, since it uses less digits than its factorization.

34001044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 34001044000 its reverse (44010043), we get a palindrome (34045054043).

The spelling of 34001044000 in words is "thirty-four billion, one million, forty-four thousand".