34004520 has 192 divisors, whose sum is σ = 124899840. Its totient is φ = 7948800.

The previous prime is 34004513. The next prime is 34004561. The reversal of 34004520 is 2540043.

It is a happy number.

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 = 34004493 and 34004502.

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 47 ways as a sum of consecutive naturals, for example, 122622 + ... + 122898.

It is an arithmetic number, because the mean of its divisors is an integer number (650520).

Almost surely, 2^34004520 is an apocalyptic number.

34004520 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 34004520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62449920).

34004520 is an abundant number, since it is smaller than the sum of its proper divisors (90895320).

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

34004520 is a wasteful number, since it uses less digits than its factorization.

34004520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 34004520 is about 5831.3394687670. The cubic root of 34004520 is about 323.9755354184.

Adding to 34004520 its reverse (2540043), we get a palindrome (36544563).

The spelling of 34004520 in words is "thirty-four million, four thousand, five hundred twenty".