34685520 has 80 divisors (see below), whose sum is σ = 110058432. Its totient is φ = 9031680.

The previous prime is 34685509. The next prime is 34685527. The reversal of 34685520 is 2558643.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34685527) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8640 + ... + 12000.

Almost surely, 2^34685520 is an apocalyptic number.

34685520 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 34685520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55029216).

34685520 is an abundant number, since it is smaller than the sum of its proper divisors (75372912).

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

34685520 is a wasteful number, since it uses less digits than its factorization.

34685520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 34685520 is about 5889.4413996575. The cubic root of 34685520 is about 326.1239820991.

The spelling of 34685520 in words is "thirty-four million, six hundred eighty-five thousand, five hundred twenty".