34049520 has 180 divisors, whose sum is σ = 121606056. Its totient is φ = 8536320.

The previous prime is 34049503. The next prime is 34049527. The reversal of 34049520 is 2594043.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34049527) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 259855 + ... + 259985.

Almost surely, 2^34049520 is an apocalyptic number.

34049520 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 34049520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60803028).

34049520 is an abundant number, since it is smaller than the sum of its proper divisors (87556536).

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

34049520 is a wasteful number, since it uses less digits than its factorization.

34049520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 34049520 is about 5835.1966547838. The cubic root of 34049520 is about 324.1183838084.

The spelling of 34049520 in words is "thirty-four million, forty-nine thousand, five hundred twenty".