34050005424 has 160 divisors (see below), whose sum is σ = 99565056000. Its totient is φ = 11138294016.

The previous prime is 34050005419. The next prime is 34050005443. The reversal of 34050005424 is 42450005043.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 27704842 + ... + 27706070.

It is an arithmetic number, because the mean of its divisors is an integer number (622281600).

Almost surely, 2^34050005424 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 34050005424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49782528000).

34050005424 is an abundant number, since it is smaller than the sum of its proper divisors (65515050576).

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

34050005424 is a wasteful number, since it uses less digits than its factorization.

34050005424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The spelling of 34050005424 in words is "thirty-four billion, fifty million, five thousand, four hundred twenty-four".