34090560 has 336 divisors, whose sum is σ = 142646400. Its totient is φ = 7299072.

The previous prime is 34090547. The next prime is 34090561. The reversal of 34090560 is 6509043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×34090560² = 2324332562227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34090561) 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 47 ways as a sum of consecutive naturals, for example, 382996 + ... + 383084.

Almost surely, 2^34090560 is an apocalyptic number.

34090560 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 34090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71323200).

34090560 is an abundant number, since it is smaller than the sum of its proper divisors (108555840).

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

34090560 is a wasteful number, since it uses less digits than its factorization.

34090560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 34090560 is about 5838.7121867754. The cubic root of 34090560 is about 324.2485518481.

The spelling of 34090560 in words is "thirty-four million, ninety thousand, five hundred sixty".