34585434 has 64 divisors (see below), whose sum is σ = 87158400. Its totient is φ = 10077696.

The previous prime is 34585423. The next prime is 34585469. The reversal of 34585434 is 43458543.

34585434 is a `hidden beast` number, since 34 + 585 + 43 + 4 = 666.

It is a super-3 number, since 3×34585434³ (a number of 24 digits) contains 333 as substring.

It is an alternating number because its digits alternate between odd and even.

34585434 is a modest number, since divided by 5434 gives 3458 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12042 + ... + 14634.

It is an arithmetic number, because the mean of its divisors is an integer number (1361850).

Almost surely, 2^34585434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34585434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43579200).

34585434 is an abundant number, since it is smaller than the sum of its proper divisors (52572966).

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

34585434 is a wasteful number, since it uses less digits than its factorization.

34585434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636 (or 2630 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 34585434 is about 5880.9381904591. The cubic root of 34585434 is about 325.8100000661.

The spelling of 34585434 in words is "thirty-four million, five hundred eighty-five thousand, four hundred thirty-four".