34515540 has 72 divisors (see below), whose sum is σ = 105192360. Its totient is φ = 9160704.

The previous prime is 34515527. The next prime is 34515557. The reversal of 34515540 is 4551543.

It can be written as a sum of positive squares in 4 ways, for example, as 11664 + 34503876 = 108^2 + 5874^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60376 + ... + 60944.

It is an arithmetic number, because the mean of its divisors is an integer number (1461005).

Almost surely, 2^34515540 is an apocalyptic number.

34515540 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 34515540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52596180).

34515540 is an abundant number, since it is smaller than the sum of its proper divisors (70676820).

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

34515540 is a wasteful number, since it uses less digits than its factorization.

34515540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 34515540 is about 5874.9927659530. The cubic root of 34515540 is about 325.5903746448.

The spelling of 34515540 in words is "thirty-four million, five hundred fifteen thousand, five hundred forty".