34145888 has 96 divisors (see below), whose sum is σ = 82736640. Its totient is φ = 13547520.

The previous prime is 34145887. The next prime is 34145899. The reversal of 34145888 is 88854143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34145887) 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, 302120 + ... + 302232.

It is an arithmetic number, because the mean of its divisors is an integer number (861840).

Almost surely, 2^34145888 is an apocalyptic number.

34145888 is a gapful number since it is divisible by the number (38) 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 34145888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41368320).

34145888 is an abundant number, since it is smaller than the sum of its proper divisors (48590752).

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

34145888 is a wasteful number, since it uses less digits than its factorization.

34145888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its digits is 122880, while the sum is 41.

The square root of 34145888 is about 5843.4482970246. The cubic root of 34145888 is about 324.4238723986.

The spelling of 34145888 in words is "thirty-four million, one hundred forty-five thousand, eight hundred eighty-eight".