34244034000 has 320 divisors, whose sum is σ = 121059394560. Its totient is φ = 8258880000.

The previous prime is 34244033983. The next prime is 34244034047. The reversal of 34244034000 is 43044243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13924771 + ... + 13927229.

It is an arithmetic number, because the mean of its divisors is an integer number (378310608).

Almost surely, 2^34244034000 is an apocalyptic number.

34244034000 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 34244034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60529697280).

34244034000 is an abundant number, since it is smaller than the sum of its proper divisors (86815360560).

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

34244034000 is a wasteful number, since it uses less digits than its factorization.

34244034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 34244034000 its reverse (43044243), we get a palindrome (34287078243).

The spelling of 34244034000 in words is "thirty-four billion, two hundred forty-four million, thirty-four thousand".