34050312540 has 144 divisors (see below), whose sum is σ = 105811235712. Its totient is φ = 8860629888.

The previous prime is 34050312467. The next prime is 34050312551. The reversal of 34050312540 is 4521305043.

34050312540 is a `hidden beast` number, since 3 + 40 + 50 + 31 + 2 + 540 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1277227 + ... + 1303613.

It is an arithmetic number, because the mean of its divisors is an integer number (734800248).

Almost surely, 2^34050312540 is an apocalyptic number.

34050312540 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 34050312540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52905617856).

34050312540 is an abundant number, since it is smaller than the sum of its proper divisors (71760923172).

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

34050312540 is a wasteful number, since it uses less digits than its factorization.

34050312540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26576 (or 26571 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 34050312540 its reverse (4521305043), we get a palindrome (38571617583).

The spelling of 34050312540 in words is "thirty-four billion, fifty million, three hundred twelve thousand, five hundred forty".