34442240000 has 420 divisors, whose sum is σ = 101644457112. Its totient is φ = 11427840000.

The previous prime is 34442239927. The next prime is 34442240009. The reversal of 34442240000 is 4224443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34442240009) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1111039985 + ... + 1111040015.

Almost surely, 2^34442240000 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 34442240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50822228556).

34442240000 is an abundant number, since it is smaller than the sum of its proper divisors (67202217112).

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

34442240000 is an frugal number, since it uses more digits than its factorization.

34442240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

Adding to 34442240000 its reverse (4224443), we get a palindrome (34446464443).

The spelling of 34442240000 in words is "thirty-four billion, four hundred forty-two million, two hundred forty thousand".