34035000424000 has 224 divisors, whose sum is σ = 84978834969600. Its totient is φ = 13502821017600.

The previous prime is 34035000423979. The next prime is 34035000424039. The reversal of 34035000424000 is 42400053043.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 481780681 + ... + 481851319.

Almost surely, 2^{34035000424000} 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 34035000424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42489417484800).

34035000424000 is an abundant number, since it is smaller than the sum of its proper divisors (50943834545600).

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

34035000424000 is a wasteful number, since it uses less digits than its factorization.

34035000424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71158 (or 71138 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 34035000424000 its reverse (42400053043), we get a palindrome (34077400477043).

The spelling of 34035000424000 in words is "thirty-four trillion, thirty-five billion, four hundred twenty-four thousand".