34042400000 has 216 divisors, whose sum is σ = 97083786240. Its totient is φ = 11669760000.

The previous prime is 34042399973. The next prime is 34042400009. The reversal of 34042400000 is 424043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34042400009) 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 23 ways as a sum of consecutive naturals, for example, 5596961 + ... + 5603039.

Almost surely, 2^34042400000 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 34042400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48541893120).

34042400000 is an abundant number, since it is smaller than the sum of its proper divisors (63041386240).

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

34042400000 is an frugal number, since it uses more digits than its factorization.

34042400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6127 (or 6093 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

Adding to 34042400000 its reverse (424043), we get a palindrome (34042824043).

The spelling of 34042400000 in words is "thirty-four billion, forty-two million, four hundred thousand".