34966272 has 72 divisors (see below), whose sum is σ = 101545920. Its totient is φ = 10593280.

The previous prime is 34966249. The next prime is 34966303. The reversal of 34966272 is 27266943.

It is a self number, because there is not a number n which added to its sum of digits gives 34966272.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6379 + ... + 10517.

It is an arithmetic number, because the mean of its divisors is an integer number (1410360).

Almost surely, 2^34966272 is an apocalyptic number.

34966272 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 34966272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50772960).

34966272 is an abundant number, since it is smaller than the sum of its proper divisors (66579648).

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

34966272 is a wasteful number, since it uses less digits than its factorization.

34966272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4169 (or 4155 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 34966272 is about 5913.2285597633. The cubic root of 34966272 is about 327.0015243689.

The spelling of 34966272 in words is "thirty-four million, nine hundred sixty-six thousand, two hundred seventy-two".