34934272 has 60 divisors (see below), whose sum is σ = 73140408. Its totient is φ = 16665600.

The previous prime is 34934239. The next prime is 34934281. The reversal of 34934272 is 27243943.

It is a happy number.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 491997 + ... + 492067.

Almost surely, 2^34934272 is an apocalyptic number.

34934272 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 34934272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36570204).

34934272 is an abundant number, since it is smaller than the sum of its proper divisors (38206136).

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

34934272 is an frugal number, since it uses more digits than its factorization.

34934272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 104 counting only the distinct ones).

The product of its digits is 36288, while the sum is 34.

The square root of 34934272 is about 5910.5221427552. The cubic root of 34934272 is about 326.9017401871.

The spelling of 34934272 in words is "thirty-four million, nine hundred thirty-four thousand, two hundred seventy-two".