34645272 has 64 divisors (see below), whose sum is σ = 90288000. Its totient is φ = 11069184.

The previous prime is 34645267. The next prime is 34645277. The reversal of 34645272 is 27254643.

It is an interprime number because it is at equal distance from previous prime (34645267) and next prime (34645277).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34645277) 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, 60604 + ... + 61172.

It is an arithmetic number, because the mean of its divisors is an integer number (1410750).

Almost surely, 2^34645272 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 34645272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45144000).

34645272 is an abundant number, since it is smaller than the sum of its proper divisors (55642728).

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

34645272 is a wasteful number, since it uses less digits than its factorization.

34645272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 676 counting only the distinct ones).

The product of its digits is 40320, while the sum is 33.

The square root of 34645272 is about 5886.0234454171. The cubic root of 34645272 is about 325.9977918979.

The spelling of 34645272 in words is "thirty-four million, six hundred forty-five thousand, two hundred seventy-two".