34541568 has 78 divisors (see below), whose sum is σ = 99881054. Its totient is φ = 11501568.

The previous prime is 34541543. The next prime is 34541579. The reversal of 34541568 is 86514543.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 21233664 + 13307904 = 4608^2 + 3648^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36396 + ... + 37332.

Almost surely, 2^34541568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34541568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49940527).

34541568 is an abundant number, since it is smaller than the sum of its proper divisors (65339486).

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

34541568 is an equidigital number, since it uses as much as digits as its factorization.

34541568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 942 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 34541568 is about 5877.2075001654. The cubic root of 34541568 is about 325.6721961178.

The spelling of 34541568 in words is "thirty-four million, five hundred forty-one thousand, five hundred sixty-eight".