34963272 has 64 divisors (see below), whose sum is σ = 97833600. Its totient is φ = 11568960.

The previous prime is 34963231. The next prime is 34963273. The reversal of 34963272 is 27236943.

It is a happy number.

34963272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (34963273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33397 + ... + 34427.

It is an arithmetic number, because the mean of its divisors is an integer number (1528650).

Almost surely, 2^34963272 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 34963272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48916800).

34963272 is an abundant number, since it is smaller than the sum of its proper divisors (62870328).

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

34963272 is a wasteful number, since it uses less digits than its factorization.

34963272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1193 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 34963272 is about 5912.9748857914. The cubic root of 34963272 is about 326.9921721887.

The spelling of 34963272 in words is "thirty-four million, nine hundred sixty-three thousand, two hundred seventy-two".