34937248 has 48 divisors (see below), whose sum is σ = 72817920. Its totient is φ = 16473600.

The previous prime is 34937209. The next prime is 34937249. The reversal of 34937248 is 84273943.

It is a super-2 number, since 2×34937248² = 2441222595627008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34937248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34937249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40243 + ... + 41101.

It is an arithmetic number, because the mean of its divisors is an integer number (1517040).

Almost surely, 2^34937248 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 34937248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36408960).

34937248 is an abundant number, since it is smaller than the sum of its proper divisors (37880672).

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

34937248 is a wasteful number, since it uses less digits than its factorization.

34937248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 933 counting only the distinct ones).

The product of its digits is 145152, while the sum is 40.

The square root of 34937248 is about 5910.7738918013. The cubic root of 34937248 is about 326.9110226853.

The spelling of 34937248 in words is "thirty-four million, nine hundred thirty-seven thousand, two hundred forty-eight".