34013520 has 200 divisors, whose sum is σ = 122882760. Its totient is φ = 8709120.

The previous prime is 34013519. The next prime is 34013537. The reversal of 34013520 is 2531043.

It can be written as a sum of positive squares in 4 ways, for example, as 1296 + 34012224 = 36^2 + 5832^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34013493 and 34013502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 187830 + ... + 188010.

Almost surely, 2^34013520 is an apocalyptic number.

34013520 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 34013520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61441380).

34013520 is an abundant number, since it is smaller than the sum of its proper divisors (88869240).

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

34013520 is a wasteful number, since it uses less digits than its factorization.

34013520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 34013520 is about 5832.1111100527. Note that the first 5 decimals coincide. The cubic root of 34013520 is about 324.0041151741.

Adding to 34013520 its reverse (2531043), we get a palindrome (36544563).

The spelling of 34013520 in words is "thirty-four million, thirteen thousand, five hundred twenty".