34450001838 has 192 divisors, whose sum is σ = 90419328000. Its totient is φ = 9693250560.

The previous prime is 34450001821. The next prime is 34450001851. The reversal of 34450001838 is 83810005443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76725838 + ... + 76726286.

It is an arithmetic number, because the mean of its divisors is an integer number (470934000).

Almost surely, 2^34450001838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34450001838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45209664000).

34450001838 is an abundant number, since it is smaller than the sum of its proper divisors (55969326162).

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

34450001838 is a wasteful number, since it uses less digits than its factorization.

34450001838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 34450001838 in words is "thirty-four billion, four hundred fifty million, one thousand, eight hundred thirty-eight".