34038010140 has 96 divisors (see below), whose sum is σ = 98469471744. Its totient is φ = 8778504960.

The previous prime is 34038010121. The next prime is 34038010151. The reversal of 34038010140 is 4101083043.

It is a super-2 number, since 2×34038010140² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34038010140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324835 + ... + 416645.

It is an arithmetic number, because the mean of its divisors is an integer number (1025723664).

Almost surely, 2^34038010140 is an apocalyptic number.

34038010140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34038010140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49234735872).

34038010140 is an abundant number, since it is smaller than the sum of its proper divisors (64431461604).

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

34038010140 is a wasteful number, since it uses less digits than its factorization.

34038010140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92027 (or 92025 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 34038010140 its reverse (4101083043), we get a palindrome (38139093183).

The spelling of 34038010140 in words is "thirty-four billion, thirty-eight million, ten thousand, one hundred forty".