34605312 has 144 divisors (see below), whose sum is σ = 108511872. Its totient is φ = 9584640.

The previous prime is 34605293. The next prime is 34605313. The reversal of 34605312 is 21350643.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (34605313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220338 + ... + 220494.

Almost surely, 2^34605312 is an apocalyptic number.

34605312 is a gapful number since it is divisible by the number (32) 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 34605312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54255936).

34605312 is an abundant number, since it is smaller than the sum of its proper divisors (73906560).

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

34605312 is a wasteful number, since it uses less digits than its factorization.

34605312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 34605312 is about 5882.6279841581. The cubic root of 34605312 is about 325.8724079457.

Adding to 34605312 its reverse (21350643), we get a palindrome (55955955).

The spelling of 34605312 in words is "thirty-four million, six hundred five thousand, three hundred twelve".